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  • 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
  • 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
  • Maxime Bôcher/Definition
    ...matician, specializing in the study of differential equations, series, and algebra.
    147 bytes (15 words) - 14:28, 26 July 2008
  • 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
  • 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
    171 bytes (21 words) - 17:26, 15 November 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
    171 bytes (21 words) - 17:11, 13 November 2008
  • 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
  • Rank (disambiguation)
    {{r|Rank (algebra)}}
    55 bytes (7 words) - 11:07, 31 May 2009
  • 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
    688 bytes (93 words) - 12:57, 21 November 2008
  • 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
    687 bytes (93 words) - 12:00, 23 November 2008
  • Serge Lang/Definition
    ...mber theory and for his mathematics textbooks, including the influential ''Algebra''.
    217 bytes (24 words) - 09:17, 4 September 2009
  • 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
    186 bytes (23 words) - 12:14, 2 January 2009
  • 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
    2 KB (307 words) - 16:08, 7 February 2009
  • 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
    190 bytes (22 words) - 12:05, 2 January 2009
  • 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]]
    250 bytes (30 words) - 11:48, 8 February 2009
  • 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]].
    885 bytes (138 words) - 19:39, 31 January 2009
  • Resultant (disambiguation)
    {{r|Resultant (algebra)}}
    109 bytes (11 words) - 11:42, 31 May 2009
  • 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
    745 bytes (116 words) - 13:35, 8 March 2009
  • Structure (mathematical logic)
    ...ion with [[algebra over a field|algebras over a field]], as a '''universal algebra'''.
    2 KB (348 words) - 16:37, 10 March 2009
  • Median (disambiguation)
    {{rpl|Median algebra}}
    90 bytes (10 words) - 09:36, 24 September 2013
  • Sigma (disambiguation)
    {{rpl|Sigma algebra}}
    149 bytes (17 words) - 05:19, 26 September 2013
  • Benjamin Peirce/Bibliography
    * Linear associative algebra, Washington (lithograph) (1870). * Linear associative algebra, Amer. J. Math., 4, 97–215 (1881)
    3 KB (311 words) - 10:48, 11 January 2010
  • 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 '
    3 KB (519 words) - 15:42, 2 January 2013
  • 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]].
    911 bytes (131 words) - 22:35, 17 February 2009
  • Spending multiplier/Tutorials
    ==The algebra of the spending multiplier identity==
    1 KB (227 words) - 06:29, 16 November 2012
  • 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
  • MATLAB
    ...software)|Maple]] symbolic engine, allowing it to act also as a [[computer algebra system]]. The MATLAB application itself also provides an interactive mathem *[[Sage (computer algebra system)|Sage]]
    1 KB (141 words) - 11:14, 2 August 2010
  • Hall polynomial
    Hall next constructs an [[Algebra over a field|algebra]] <math>H(p)</math> with symbols <math>u_\lambda</math> a generators and mu The map from <math>H(p)</math> to the algebra of [[symmetric function]]s <math>e_n</math> given
    2 KB (264 words) - 22:53, 19 February 2010
  • Factor system/Definition
    ...</noinclude>A function on a group giving the data required to construct an algebra. A factor system constitutes a realisation of the cocycles in the second c
    217 bytes (33 words) - 15:37, 2 January 2013
  • Group 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
    1 KB (137 words) - 02:15, 29 November 2008
  • Mathematica/Bibliography
    *[[Computer algebra system]]
    119 bytes (12 words) - 08:32, 1 June 2008
  • Complement (disambiguation)
    {{r|Complement (linear algebra)}}
    296 bytes (31 words) - 11:00, 31 May 2009
  • Group theory/Related Articles
    {{r|Abstract algebra}} {{r|Algebra}}
    1 KB (180 words) - 17:00, 11 January 2010
  • CZ Talk:Core Articles/Mathematics
    ...more abstract than algebra. Why is Category Th. listed as subordinate to Algebra? Thanks, [[User:Peter Lyall Easthope|Peter Lyall Easthope]] 23:58, 24 May ...it in an algebraic way, so I think it tends to be regarded as a branch of algebra.
    2 KB (301 words) - 10:06, 19 November 2014
  • Absorption (mathematics)/Related Articles
    {{r|Lattice (algebra)}}
    174 bytes (20 words) - 04:26, 18 January 2010
  • Symmetric group/Bibliography
    * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-5
    297 bytes (38 words) - 07:36, 15 November 2008
  • Conjugation (group theory)/Bibliography
    * {{cite book | author=Serge Lang | authorlink=Serge Lang | title=Algebra | edition=3rd ed. | publisher=[[Addison-Wesley]] | year=1993 | isbn=0-201-5
    297 bytes (38 words) - 17:41, 20 November 2008
  • 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
  • Maple (software)/Related Articles
    {{r|Computer algebra system}}
    193 bytes (26 words) - 08:37, 1 June 2008
  • Localisation (ring theory)
    .... The localisation <math>S^{-1}R</math> is an ''R''-[[algebra over a ring|algebra]] in which the elements of ''S'' become invertible, constructed as follows. ...icatively closed subset. The localisation of ''R'' at ''S'' is a [[field (algebra)|field]], the '''field of fractions''' of ''R''. A ring can be embedded in
    2 KB (312 words) - 09:18, 21 October 2009
  • Integral closure
    ...closure''' of a commutative unital ring ''R'' in an [[algebra over a ring|algebra]] ''S'' over ''R'' is the [[subset]] of ''S'' consisting of all elements of
    1 KB (172 words) - 15:42, 7 February 2009
  • Noetherian ring
    In [[algebra]], a '''Noetherian ring''' is a [[ring (mathematics)|ring]] with a conditio * A [[field (algebra)|field]] is Noetherian, since its only ideals are (0) and (1).
    2 KB (326 words) - 09:55, 23 December 2008
  • Quadratic equation/Related Articles
    {{r|algebra}}
    199 bytes (24 words) - 11:54, 4 December 2008
  • Binomial theorem/Related Articles
    {{r|Elementary algebra}}
    263 bytes (35 words) - 06:59, 15 July 2008
  • MATLAB/Related Articles
    {{r|Computer algebra}}
    164 bytes (18 words) - 08:57, 27 July 2009
  • Logarithm/Related Articles
    {{r|Elementary algebra}}
    237 bytes (29 words) - 08:06, 14 January 2009
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