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• Algebra
  '''Algebra''' is a branch of [[mathematics]] concerning the study of [[structure (alge ...[[secondary education]] and provides an introduction to the basic ideas of algebra, including effects of [[addition|add]]ing and [[multiplication|multiply]]in
  18 KB (2,669 words) - 08:38, 17 April 2024
• Lie algebra
  ...initesimal [[symmetry|symmetries]] or [[transformation]]s. In short a Lie algebra is a [[vector space]] together with a skew-symmetric bilinear operation den ...''Y'']] = 0 where ''X'', ''Y'', and ''Z'' run over all elements of the Lie algebra.
  12 KB (1,918 words) - 20:29, 22 December 2011
• Resolution (algebra)
  In [[mathematics]], particularly in [[abstract algebra]] and [[homological algebra]], a '''resolution''' is a sequence which is used to describe the structure * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-5
  2 KB (296 words) - 14:49, 28 October 2008
• Module (algebra)
  20 bytes (2 words) - 06:49, 1 January 2009
• Content (algebra)
  In [[algebra]], the '''content''' of a [[polynomial]] is the [[highest common factor]] o ...nk=Brian Hartley | coauthors=T.O. Hawkes | title=Rings, modules and linear algebra | publisher=Chapman and Hall | year=1970 | isbn=0-412-09810-5 }}
  971 bytes (132 words) - 15:00, 29 October 2008
• Field (algebra)
  33 bytes (3 words) - 03:28, 2 January 2009
• Algebra/Bibliography
  * I.N. Herstein: ''Topics in Algebra''. ISBN 0-471-02371-X
  580 bytes (78 words) - 06:03, 7 November 2010
• Algebra/Timelines
  ...[[Diophantus]], who lived in Egypt and is often considered the "father of algebra", writes his famous ''[[Arithmetica]]'', a work featuring solutions of alge ...on reduction was included in the book and added to many methods we have in algebra now.
  8 KB (1,117 words) - 08:22, 5 December 2011
• Commutative algebra
  Commutative algebra developed as a theory in mathematics having the aim of translating classica ...correspondence theorems, which allows us to change between the language of algebra and geometry.
  2 KB (338 words) - 10:01, 23 December 2008
• Heyting algebra
  50 bytes (5 words) - 02:43, 5 January 2009
• Separability (algebra)
  43 bytes (3 words) - 13:22, 8 March 2009
• Abstract algebra
  ...ematics)|rings]], [[field (mathematics)|fields]], [[vector space]]s, and [[algebra over a field|algebras]].
  250 bytes (31 words) - 07:40, 27 July 2008
• Resultant (algebra)
  In [[algebra]], the '''resultant''' of two polynomials is a quantity which determines wh * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  2 KB (388 words) - 17:58, 21 December 2008
• Boolean algebra
  ...ap|(negation, ~)}} that reverses the truth value of any statement. Boolean algebra can be used to analyze computer chips and switching circuits, as well as lo ...mentary algebra]] as taught in secondary schools, and is only a facet of [[algebra]], the general mathematical discipline treating variables, symbols and sets
  13 KB (1,959 words) - 19:49, 1 September 2020
• Linear algebra
  ...range of topics, such as [[systems of linear equations]], [[matrix|matrix algebra]], and [[arrow]]s in [[Cartesian coordinates|Cartesian]] two-dimensional or ...l-world problems. Other topics in linear algebra, such as [[matrix|matrix algebra]], [[eigenvalue]]s and [[eigenvector]]s, [[linear operators]], [[matrix rep
  975 bytes (135 words) - 02:13, 3 September 2010
• Abstract Algebra
  #Redirect [[Abstract algebra]]
  30 bytes (3 words) - 13:29, 12 April 2008
• Albert algebra
  The '''Albert algebra''' is the set of 3×3 [[self-adjoint]] matrices over the [[octonion]]s with ...ructed using this one, it is often referred to as "the" exceptional Jordan algebra.
  619 bytes (88 words) - 13:53, 14 November 2008
• Sigma algebra
  In [[mathematics]], a '''sigma algebra''' is a [[mathematical structure|formal mathematical structure]] intended ...is a collection of subset of <math>\scriptstyle \Omega</math>) is a sigma algebra if it satisfies all the following conditions or axioms:
  2 KB (314 words) - 16:35, 27 November 2008
• Algebra/Definition
  117 bytes (15 words) - 19:49, 20 May 2008
• Median algebra
  In [[mathematics]], a '''median algebra''' is a set with a [[ternary operation]] &lt; x,y,z &gt; satisfying a set o ...)</math> satisfies these axioms, so that every Boolean algebra is a median algebra.
  2 KB (316 words) - 13:38, 16 July 2011
• Algebra/Approval
  12 bytes (1 word) - 10:48, 24 September 2007
• Complement (linear algebra)
  In [[linear algebra]], a '''complement''' to a subspace of a vector space is another subspace w
  1 KB (195 words) - 15:17, 12 December 2008
• Algebra/Related Articles
  * [[List of basic algebra topics]] * [[Fundamental theorem of algebra]]
  2 KB (247 words) - 06:00, 7 November 2010
• Lie algebra/Definition
  A ''Lie algebra'' is a vector space together with a skew-symmetric bilinear operation (the
  170 bytes (23 words) - 09:27, 27 November 2011
• Sigma algebra/Approval
  12 bytes (1 word) - 16:54, 14 November 2007
• Resolution (algebra)/Definition
  106 bytes (16 words) - 14:54, 28 October 2008
• Lie algebra/Bibliography
  ...''Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra'', second edition, World Scientific, 2007, ISBN 978-981-270-809-0
  1 KB (158 words) - 10:59, 27 November 2011
• Computer algebra system
  ...ilitates [[symbolic mathematics]]. The core functionality of any computer algebra systems is manipulation of mathematical expressions in symbolic form. Most Typical symbolic manipulations that can be performed by ''computer algebra systems'' include:
  1 KB (164 words) - 14:01, 18 January 2008
• Module (algebra)/Definition
  124 bytes (16 words) - 10:28, 1 January 2009
• Sigma algebra/Definition
  173 bytes (23 words) - 17:40, 26 June 2008
• Linear algebra/Definition
  184 bytes (23 words) - 09:31, 4 September 2009
• Lie algebra/representation
  ...he abstract [[Lie algebra]] to a simpler [[Lie algebra#Examples|matrix Lie algebra]]. ...algebra#Homomorphisms, subalgebras, and ideals|homomorphism]] from the Lie algebra to the endomorphisms (linear maps) of some vector space.
  4 KB (670 words) - 21:07, 22 December 2011
• Albert algebra/Definition
  An exceptional Jordan algebra, consisting of 3×3 self-adjoint matrices over the octonions.
  127 bytes (14 words) - 02:27, 5 December 2008
• Abstract algebra/Definition
  116 bytes (15 words) - 10:16, 12 July 2008
• Content (algebra)/Definition
  98 bytes (13 words) - 15:03, 29 October 2008
• Algebra/External Links
  * [http://www.helpalgebra.com ''Algebra Help''] Online algebra tutorials. ...://www.ucs.louisiana.edu/~sxw8045/history.htm Highlights in the history of algebra]
  260 bytes (36 words) - 06:03, 7 November 2010
• Commutative algebra/Approval
  12 bytes (1 word) - 11:17, 1 January 2008
• Commutative algebra/Definition
  108 bytes (12 words) - 09:26, 4 August 2008
• Boolean algebra/Definition
  238 bytes (31 words) - 12:17, 14 July 2011
• Basis (linear algebra)
  In [[linear algebra]], a '''basis''' for a [[vector space]] <math>V</math> is a set of [[vector The term '''basis''' is also used in [[abstract algebra]], specifically in the theory of [[free module]]s. For more on this use of
  3 KB (464 words) - 19:45, 1 December 2008
• Abstract algebra/Approval
  12 bytes (1 word) - 13:21, 12 April 2008
• Resultant (algebra)/Definition
  121 bytes (17 words) - 02:25, 18 December 2008
• Elementary algebra/Definition
  A fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge o
  195 bytes (28 words) - 14:21, 25 October 2008
• Algebra over a field
  In [[abstract algebra]], an '''algebra over a field''' ''F'', or ''F''-'''algebra''' is a [[ring (mathematics)|ring]] ''A'' containing an [[field isomorphism * Any [[extension field]] ''E''/''F'' can be regarded as an ''F''-algebra.
  1 KB (155 words) - 15:55, 23 December 2008
• Boolean algebra/Bibliography
  ...|year=1990 |publisher=McGraw-Hill}} An accessible introduction to Boolean algebra and its applications. ...2001}} A discussion of the wide field of sentential logic of which Boolean algebra is the tip of the iceberg.
  670 bytes (88 words) - 15:04, 21 July 2011
• Root (algebra)/Definition
  124 bytes (26 words) - 06:32, 20 November 2008
• Median algebra/Definition
  176 bytes (27 words) - 15:44, 27 October 2008
• Computer algebra system/Definition
  120 bytes (13 words) - 08:39, 1 June 2008
• Basis (linear algebra)/Definition
  245 bytes (42 words) - 06:20, 4 September 2009
• Complement (linear algebra)/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  170 bytes (21 words) - 15:31, 28 November 2008
• Computer algebra system/Approval
  12 bytes (1 word) - 17:57, 23 December 2007
• Albert algebra/Related Articles
  {{r|Jordan algebra}}
  889 bytes (141 words) - 18:01, 6 December 2008
• Abstract algebra/Related Articles
  {{r|Algebra}} ===Disciplines within abstract algebra===
  654 bytes (81 words) - 13:36, 29 November 2008
• Content (algebra)/Related Articles
  844 bytes (135 words) - 02:13, 15 December 2008
• Linear algebra/Related Articles
  795 bytes (125 words) - 14:53, 10 May 2009
• Commutative algebra/Related Articles
  {{r|Abstract algebra}} {{r|Noncommutative algebra}}
  715 bytes (91 words) - 17:34, 10 December 2008
• Fundamental Theorem of Algebra
  The '''Fundamental Theorem of Algebra''' is a mathematical theorem stating that every nonconstant [[polynomial]] One important case of the Fundamental Theorem of Algebra is that every nonconstant polynomial with [[Real number|real]] coefficients
  5 KB (924 words) - 16:35, 11 December 2008
• Basis (linear algebra)/Advanced
  2 KB (371 words) - 00:36, 2 February 2009
• Median algebra/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Median algebra]]. Needs checking by a human.
  443 bytes (56 words) - 18:24, 11 January 2010
• Boolean algebra/Related Articles
  907 bytes (145 words) - 14:06, 16 July 2011
• Fundamental theorem of algebra
  #REDIRECT[[Fundamental Theorem of Algebra]]
  43 bytes (5 words) - 21:01, 21 May 2007
• Resultant (algebra)/Related Articles
  879 bytes (140 words) - 17:59, 21 December 2008
• Boolean algebra/External Links
  ...07-16}} An historical and introductory essay on the application of Boolean algebra to circuits.
  350 bytes (48 words) - 14:25, 16 July 2011
• Sigma algebra/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Sigma algebra]]. Needs checking by a human.
  812 bytes (100 words) - 20:22, 11 January 2010
• Complement (linear algebra)/Definition
  92 bytes (13 words) - 14:54, 28 November 2008
• Algebra over a field/Definition
  104 bytes (16 words) - 15:57, 23 December 2008
• Resolution (algebra)/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Resolution (algebra)]]. Needs checking by a human.
  470 bytes (59 words) - 20:00, 11 January 2010
• Fundamental Theorem of Algebra/Approval
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• Algebra over a field/Related Articles
  885 bytes (140 words) - 15:58, 23 December 2008
• Complement (linear algebra)/Related Articles
  {{r|Linear algebra}}
  885 bytes (142 words) - 15:23, 28 November 2008
• Computer algebra system/Related Articles
  368 bytes (47 words) - 07:54, 13 July 2008
• Fundamental Theorem of Algebra/Definition
  144 bytes (20 words) - 02:59, 15 November 2008
• Hasse invariant of an algebra
  In mathematics, the '''Hasse invariant of an algebra''' is an invariant attached to a Brauer class of algebras over a field. Th ...d the [[Albert–Brauer–Hasse–Noether theorem]] we may take to be a [[cyclic algebra]] (''L'',φ,π^''k'') for some ''k'' mod ''n'', where φ is the [
  1 KB (216 words) - 13:04, 3 January 2013
• Basis (linear algebra)/Related Articles
  {{r|Span (algebra)}}
  203 bytes (25 words) - 16:47, 6 January 2009
• Hasse invariant of an algebra/Bibliography
  * {{cite book | first=Falko | last=Lorenz | title=Algebra. Volume II: Fields with Structure, Algebras and Advanced Topics | year=200
  213 bytes (27 words) - 13:05, 3 January 2013
• Hasse invariant of an algebra/Definition
  100 bytes (15 words) - 13:02, 3 January 2013
• Fundamental Theorem of Algebra/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Fundamental Theorem of Algebra]]. Needs checking by a human.
  493 bytes (64 words) - 16:43, 11 January 2010
• Hasse invariant of an algebra/Related Articles
  827 bytes (133 words) - 13:02, 3 January 2013

Page text matches

• Algebra/External Links
  * [http://www.helpalgebra.com ''Algebra Help''] Online algebra tutorials. ...://www.ucs.louisiana.edu/~sxw8045/history.htm Highlights in the history of algebra]
  260 bytes (36 words) - 06:03, 7 November 2010
• Abstract algebra/Related Articles
  {{r|Algebra}} ===Disciplines within abstract algebra===
  654 bytes (81 words) - 13:36, 29 November 2008
• Albert algebra
  The '''Albert algebra''' is the set of 3×3 [[self-adjoint]] matrices over the [[octonion]]s with ...ructed using this one, it is often referred to as "the" exceptional Jordan algebra.
  619 bytes (88 words) - 13:53, 14 November 2008
• Abstract algebra
  ...ematics)|rings]], [[field (mathematics)|fields]], [[vector space]]s, and [[algebra over a field|algebras]].
  250 bytes (31 words) - 07:40, 27 July 2008
• Measure space/Definition
  ...a sigma-algebra of subsets of the set and a measure defined on this sigma-algebra.
  137 bytes (20 words) - 09:52, 4 September 2009
• Linear algebra
  ...range of topics, such as [[systems of linear equations]], [[matrix|matrix algebra]], and [[arrow]]s in [[Cartesian coordinates|Cartesian]] two-dimensional or ...l-world problems. Other topics in linear algebra, such as [[matrix|matrix algebra]], [[eigenvalue]]s and [[eigenvector]]s, [[linear operators]], [[matrix rep
  975 bytes (135 words) - 02:13, 3 September 2010
• Vector space/Related Articles
  {{r|linear algebra}} {{r|abstract algebra}}
  492 bytes (60 words) - 15:09, 28 July 2009
• Boolean algebra/External Links
  ...07-16}} An historical and introductory essay on the application of Boolean algebra to circuits.
  350 bytes (48 words) - 14:25, 16 July 2011
• Integer/Bibliography
  * Herstein, I. N., ''Topics in Algebra'', Wiley; 2 edition (June 20, 1975), ISBN 0-471-01090-1. * Mac Lane, Saunders, and Garrett Birkhoff; ''Algebra'', American Mathematical Society; 3rd edition (April 1999). ISBN 0-8218-164
  242 bytes (31 words) - 08:58, 8 December 2008
• Division ring
  In [[algebra]], a '''division ring''' or '''skew field''' is a [[ring (mathematics)|ring ...a field, and hence ''A'' may be regarded as a ''C''-[[algebra over a field|algebra]].
  634 bytes (89 words) - 01:24, 18 February 2009
• Algebra over a field
  In [[abstract algebra]], an '''algebra over a field''' ''F'', or ''F''-'''algebra''' is a [[ring (mathematics)|ring]] ''A'' containing an [[field isomorphism * Any [[extension field]] ''E''/''F'' can be regarded as an ''F''-algebra.
  1 KB (155 words) - 15:55, 23 December 2008
• Boolean algebra/Bibliography
  ...|year=1990 |publisher=McGraw-Hill}} An accessible introduction to Boolean algebra and its applications. ...2001}} A discussion of the wide field of sentential logic of which Boolean algebra is the tip of the iceberg.
  670 bytes (88 words) - 15:04, 21 July 2011
• Algebra/Related Articles
  * [[List of basic algebra topics]] * [[Fundamental theorem of algebra]]
  2 KB (247 words) - 06:00, 7 November 2010
• Ring (mathematics)/Related Articles
  {{r|Abstract algebra}} {{r|Algebra over a field}}
  1 KB (174 words) - 20:03, 11 January 2010
• Abstract Algebra
  #Redirect [[Abstract algebra]]
  30 bytes (3 words) - 13:29, 12 April 2008
• Borel set
  ...]], a '''Borel set''' is a set that belongs to the [[sigma algebra|&sigma;-algebra]] generated by the open sets of a [[topological space]]. Thus, every open s ...>A \in \sigma(O) </math>, where <math>\sigma(O)</math> denotes the &sigma;-algebra generated by <math>O</math>.
  981 bytes (168 words) - 13:28, 26 July 2008
• Projective dimension
  #REDIRECT [[Resolution (algebra)#Properties]]
  45 bytes (4 words) - 16:37, 1 December 2008
• Basis (mathematics)/Advanced
  #REDIRECT [[Basis (linear algebra)/Advanced]]
  45 bytes (5 words) - 19:42, 1 December 2008
• Fundamental theorem of algebra
  #REDIRECT[[Fundamental Theorem of Algebra]]
  43 bytes (5 words) - 21:01, 21 May 2007
• Sylvester matrix
  #REDIRECT [[Resultant (algebra)#Sylvester matrix]]
  50 bytes (5 words) - 16:34, 17 December 2008
• Basis (mathematics)/Related Articles
  #REDIRECT [[Basis (linear algebra)/Related Articles]]
  53 bytes (6 words) - 19:43, 1 December 2008
• Hall polynomial/Definition
  The structure constants of Hall algebra.
  77 bytes (9 words) - 08:29, 4 September 2009
• Serge Lang/Related Articles
  {{r|Algebra over a field}} {{r|Complement (linear algebra)}}
  1 KB (187 words) - 20:18, 11 January 2010
• Polynomial/Related Articles
  {{r|Algebra}} {{r|Basis (linear algebra)}}
  2 KB (206 words) - 19:38, 11 January 2010
• Automorphism
  In [[algebra]], an '''automorphism''' of an [[abstract algebra]]ic structure is an [[isomorphism]] of the structure with itself, that is,
  368 bytes (48 words) - 07:49, 5 February 2009
• Caratheodory extension theorem
  ...be extended to be a [[measure]] on the [[sigma algebra]] generated by that algebra. Measure in this context specifically refers to a non-negative measure. ...a <math>\mathcal{F}=\sigma(\mathcal{F}_0)</math> (i.e., the smallest sigma algebra containing <math>\mathcal{F}_0</math>) such that <math>\mu(A)=\mu_0(A)</mat
  2 KB (324 words) - 16:34, 27 November 2008
• Krull dimension
  In [[algebra]], the '''Krull dimension''' of a [[ring theory|ring]] is one less than the * [[A.I. Kostrikin]] and [[Igor Shafarevich|I.R. Shafarevich]] (edd), ''Algebra II'', Encyclopaedia of Mathematical Sciences '''18''', [[Springer-Verlag]],
  497 bytes (67 words) - 16:20, 30 October 2008
• Tensor product
  ==Tensor products in linear algebra==
  710 bytes (120 words) - 15:46, 23 December 2007
• Algebraic geometry/Related Articles
  {{r|Abstract algebra}} {{r|Algebra}}
  898 bytes (114 words) - 10:49, 11 January 2010
• Root (disambiguation)
  {{rpl|Root (algebra)|In algebra}}
  175 bytes (23 words) - 05:09, 26 September 2013
• Shell (disambiguation)
  {{r|Shell (algebra)|In algebra}}
  237 bytes (34 words) - 11:31, 17 June 2009
• Maple (software)/Definition
  Commercial computer algebra system and a general purpose mathematics software.
  114 bytes (13 words) - 08:53, 1 June 2008
• Resolution (disambiguation)
  {{r|Resolution (algebra)|In algebra}}
  129 bytes (16 words) - 11:36, 31 May 2009
• KANT/Definition
  A computer algebra system for mathematicians interested in algebraic number theory.
  119 bytes (14 words) - 15:20, 28 October 2008
• Albert algebra/Definition
  An exceptional Jordan algebra, consisting of 3×3 self-adjoint matrices over the octonions.
  127 bytes (14 words) - 02:27, 5 December 2008
• Permutation group
  ...tion and an identity.<ref>Fraleigh J B (2003) ''A First Course in Abstract Algebra'' ISBN 0321156080, section 8</ref> ...] is generally only concerned with groups, [[ring theory|rings]], [[field (algebra)|fields]] ''et cetera'' [[up to]] isomorphism, the generic permutation grou
  2 KB (244 words) - 20:34, 1 July 2009
• Maxime Bôcher/Definition
  ...matician, specializing in the study of differential equations, series, and algebra.
  147 bytes (15 words) - 14:28, 26 July 2008
• Benjamin Peirce/External Links
  ....org/stream/linearassocalgeb00pierrich#page/n5/mode/2up Linear Associative Algebra] Benjamin Peirce, Van Nostrand (1882)
  324 bytes (40 words) - 11:22, 11 January 2010
• Commutative algebra
  Commutative algebra developed as a theory in mathematics having the aim of translating classica ...correspondence theorems, which allows us to change between the language of algebra and geometry.
  2 KB (338 words) - 10:01, 23 December 2008
• Centraliser/Bibliography
  * {{cite book | author=A.G. Howson | title=A handbook of terms used in algebra and analysis | publisher=[[Cambridge University Press]] | year=1972 | isbn= * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  500 bytes (66 words) - 12:18, 29 December 2008
• Normaliser/Bibliography
  * {{cite book | author=A.G. Howson | title=A handbook of terms used in algebra and analysis | publisher=[[Cambridge University Press]] | year=1972 | isbn= * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  500 bytes (66 words) - 12:27, 29 December 2008
• Levi-Civita symbol/Bibliography
  *{{cite book |title=An exercise book in algebra |author=Scoby McCurdy |url=http://books.google.com/books?id=0RMAAAAAYAAJ&pg *{{cite book |title=Numbers and symmetry: an introduction to algebra |author=Bernard L. Johnston, Fred Richman |url=http://books.google.com/book
  585 bytes (83 words) - 10:01, 6 January 2011
• Set (mathematics)/Related Articles
  {{r|Boolean algebra}} {{r|Transfinite | Transfinite algebra}}
  507 bytes (65 words) - 07:17, 22 July 2011
• Product operator (NMR)/Definition
  A mathematical operator algebra used to describe magnetic states during [[Nuclear magnetic resonance|NMR]]
  155 bytes (18 words) - 11:48, 19 January 2009
• Mathematica/Definition
  Commercial computer algebra system with own programming language that supports functional and procedura
  160 bytes (18 words) - 08:29, 1 June 2008
• Lie algebra/representation
  ...he abstract [[Lie algebra]] to a simpler [[Lie algebra#Examples|matrix Lie algebra]]. ...algebra#Homomorphisms, subalgebras, and ideals|homomorphism]] from the Lie algebra to the endomorphisms (linear maps) of some vector space.
  4 KB (670 words) - 21:07, 22 December 2011
• Euclidean space/Related Articles
  {{r|Linear algebra}} {{r|Basis (linear algebra)}}
  338 bytes (42 words) - 19:08, 5 October 2009
• Caratheodory extension theorem/Definition
  A countably additive non-negative function on an algebra of subsets extends to a measure.
  125 bytes (17 words) - 16:42, 26 July 2008
• Span (mathematics)
  In [[algebra]], the '''span''' of a set of elements of a [[module (algebra)|module]] or [[vector space]] is the set of all finite [[linear combination A [[Basis (linear algebra)|basis]] is a [[Linear independence|linearly independent]] spanning set.
  968 bytes (162 words) - 13:20, 7 February 2009
• Median algebra
  In [[mathematics]], a '''median algebra''' is a set with a [[ternary operation]] &lt; x,y,z &gt; satisfying a set o ...)</math> satisfies these axioms, so that every Boolean algebra is a median algebra.
  2 KB (316 words) - 13:38, 16 July 2011
• Sigma algebra
  In [[mathematics]], a '''sigma algebra''' is a [[mathematical structure|formal mathematical structure]] intended ...is a collection of subset of <math>\scriptstyle \Omega</math>) is a sigma algebra if it satisfies all the following conditions or axioms:
  2 KB (314 words) - 16:35, 27 November 2008
• Field theory (mathematics)/Definition
  A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on t
  194 bytes (25 words) - 13:32, 7 December 2008
• Gaussian elimination/Related Articles
  {{r|algebra}} {{r|linear algebra}}
  579 bytes (84 words) - 14:09, 10 May 2009
• Noetherian module
  In [[algebra]], a '''Noetherian module''' is a [[module]] with a condition on the [[latt * A [[free module]] of finite [[rank (algebra)|rank]] over a Noetherian ring is a Noetherian module.
  1 KB (213 words) - 17:17, 7 February 2009
• Separability (disambiguation)
  In [[algebra]], '''separability''' may refer to:
  112 bytes (13 words) - 13:22, 8 March 2009
• Galois theory/Definition
  Algebra concerned with the relation between solutions of a polynomial equation and
  158 bytes (20 words) - 08:08, 4 September 2009
• Division ring/Definition
  (or skew field), In algebra it is a ring in which every non-zero element is invertible.
  123 bytes (19 words) - 01:23, 18 February 2009
• Content (algebra)
  In [[algebra]], the '''content''' of a [[polynomial]] is the [[highest common factor]] o ...nk=Brian Hartley | coauthors=T.O. Hawkes | title=Rings, modules and linear algebra | publisher=Chapman and Hall | year=1970 | isbn=0-412-09810-5 }}
  971 bytes (132 words) - 15:00, 29 October 2008
• Borel set/Definition
  A set that belongs to the σ-algebra generated by the open sets of a topological space.
  123 bytes (19 words) - 18:52, 24 June 2008
• Splitting field
  In [[algebra]], a '''splitting field''' for a polynomial ''f'' over a field ''F'' is a [ * {{cite book | author=A.G. Howson | title=A handbook of terms used in algebra and analysis | publisher=[[Cambridge University Press]] | year=1972 | isbn=
  1 KB (147 words) - 09:16, 4 July 2009
• Discriminant of a polynomial
  In [[algebra]], the '''discriminant of a polynomial''' is an invariant which determines The discriminant may be obtained as the [[resultant (algebra)|resultant]] of the polynomial and its [[formal derivative]].
  1 KB (163 words) - 18:01, 21 December 2008
• Measurable space/Definition
  Set together with a sigma-algebra of subsets of this set.
  94 bytes (13 words) - 09:47, 4 September 2009
• Computer algebra system
  ...ilitates [[symbolic mathematics]]. The core functionality of any computer algebra systems is manipulation of mathematical expressions in symbolic form. Most Typical symbolic manipulations that can be performed by ''computer algebra systems'' include:
  1 KB (164 words) - 14:01, 18 January 2008
• Idempotence/Bibliography
  * {{cite book | author=A.G. Howson | title=A handbook of terms used in algebra and analysis | publisher=[[Cambridge University Press]] | year=1972 | isbn= * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  733 bytes (88 words) - 02:34, 24 December 2008
• Polynomial ring/Related Articles
  {{r|Algebra}} {{r|Commutative algebra}}
  770 bytes (96 words) - 19:39, 11 January 2010
• Division ring/Related Articles
  {{r|Algebra over a field}} {{r|Basis (linear algebra)}}
  604 bytes (80 words) - 16:01, 11 January 2010
• Hasse invariant of an algebra/Bibliography
  * {{cite book | first=Falko | last=Lorenz | title=Algebra. Volume II: Fields with Structure, Algebras and Advanced Topics | year=200
  213 bytes (27 words) - 13:05, 3 January 2013
• KANT
  ...is the associated command line interface. They have been developed by the Algebra and Number Theory research group of the Institute of Mathematics at [[Techn * [[Comparison of computer algebra systems]]
  1 KB (152 words) - 08:31, 14 September 2013
• Elementary algebra/Definition
  A fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge o
  195 bytes (28 words) - 14:21, 25 October 2008
• Lie algebra/Definition
  A ''Lie algebra'' is a vector space together with a skew-symmetric bilinear operation (the
  170 bytes (23 words) - 09:27, 27 November 2011
• Commutative algebra/Related Articles
  {{r|Abstract algebra}} {{r|Noncommutative algebra}}
  715 bytes (91 words) - 17:34, 10 December 2008
• Inner product/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  170 bytes (21 words) - 15:29, 28 November 2008
• Monoid/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-5
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• Complement (linear algebra)/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  170 bytes (21 words) - 15:31, 28 November 2008
• Exact sequence/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-5
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• Rank (disambiguation)
  {{r|Rank (algebra)}}
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• Field automorphism/Bibliography
  * {{cite book | author=I.N. Herstein | title=Topics in Algebra | edition=2nd ed | publisher = John Wiley and Sons | year=1975 | isbn=0-471 * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-5
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• Field theory (mathematics)/Bibliography
  * {{cite book | author=I.N. Herstein | title=Topics in Algebra | edition=2nd ed | publisher = John Wiley and Sons | year=1975 | isbn=0-471 * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
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• Localisation (ring theory)/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
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• Serge Lang/Definition
  ...mber theory and for his mathematics textbooks, including the influential ''Algebra''.
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• Linear independence
  ...[algebra]], a '''linearly independent''' system of elements of a [[module (algebra)|module]] over a [[ring (mathematics)|ring]] or of a [[vector space]], is o A [[Basis (linear algebra)|basis]] is a maximal linearly independent set: equivalently, a linearly in
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• Local ring/Bibliography
  * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
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• Essential subgroup
  In [[mathematics]], especially in the area of [[abstract algebra|algebra]] studying the theory of [[abelian group]]s, an '''essential subgroup''' is
  802 bytes (112 words) - 03:33, 2 February 2009
• Multiplication/Related Articles
  {{r|Algebra over a field}} {{r|Algebra}}
  969 bytes (124 words) - 18:42, 11 January 2010
• CAS (disambiguation)
  *[[Computer algebra system]]
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• Absorption (mathematics)
  In [[algebra]], '''absorption''' is a property of [[binary operation]]s which reflects a * {{cite book | author=A.G. Howson | title=A handbook of terms used in algebra and analysis | publisher=[[Cambridge University Press]] | year=1972 | isbn=
  929 bytes (125 words) - 13:24, 18 November 2022
• Basis (mathematics)
  ...[[Linear independence|linearly independent]] [[spanning set]] in [[linear algebra]].
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• Resultant (disambiguation)
  {{r|Resultant (algebra)}}
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• Galois theory/Bibliography
  * {{cite book | author=I.N. Herstein | title=Topics in Algebra | edition=2nd ed | publisher = John Wiley and Sons | year=1975 | isbn=0-471 * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
  835 bytes (112 words) - 12:57, 21 November 2008
• Weierstrass preparation theorem
  In [[algebra]], the '''Weierstrass preparation theorem''' describes a canonical form for * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-55
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• Structure (mathematical logic)
  ...ion with [[algebra over a field|algebras over a field]], as a '''universal algebra'''.
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• Median (disambiguation)
  {{rpl|Median algebra}}
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• Sigma (disambiguation)
  {{rpl|Sigma algebra}}
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• Benjamin Peirce/Bibliography
  * Linear associative algebra, Washington (lithograph) (1870). * Linear associative algebra, Amer. J. Math., 4, 97–215 (1881)
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• Factor system
  ...n a [[group (mathematics)|group]] giving the data required to construct an algebra. A factor system constitutes a realisation of the cocycles in the second [ .../sup>) gives rise to a ''crossed product algebra'' ''A'', which is a ''K''-algebra containing ''L'' as a subfield, generated by the elements λ in ''L'' and '
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• Module (disambiguation)
  {{r|Module (algebra)}}
  90 bytes (10 words) - 02:40, 16 May 2009
• Field (mathematics)/Related Articles
  {{r|Abstract algebra}} {{r|Algebra}}
  1 KB (146 words) - 16:32, 11 January 2010
• Characteristic polynomial
  In [[linear algebra]] the '''characteristic polynomial''' of a [[square matrix]] is a polynomia ...morphism]] of a [[vector space]], independent of choice of [[basis (linear algebra)|basis]].
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• Spending multiplier/Tutorials
  ==The algebra of the spending multiplier identity==
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• Octonions
  ...ctonions, <math>\mathbb{O}</math>, are a eight-dimensional normed division algebra over the real numbers.<br/><br/> *[[Geometric Algebra]]
  947 bytes (123 words) - 06:31, 14 September 2013