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- #Redirect [[Abstract algebra]]30 bytes (3 words) - 13:29, 12 April 2008
- '''Abstract algebra''' is a branch of [[mathematics]] that studies structures such as [[group (250 bytes (31 words) - 07:40, 27 July 2008
- 116 bytes (15 words) - 10:16, 12 July 2008
- 12 bytes (1 word) - 13:21, 12 April 2008
- ===Disciplines within abstract algebra===654 bytes (81 words) - 13:36, 29 November 2008
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- ===Disciplines within abstract algebra===654 bytes (81 words) - 13:36, 29 November 2008
- #Redirect [[Abstract algebra]]30 bytes (3 words) - 13:29, 12 April 2008
- '''Abstract algebra''' is a branch of [[mathematics]] that studies structures such as [[group (250 bytes (31 words) - 07:40, 27 July 2008
- {{r|abstract algebra}}492 bytes (60 words) - 15:09, 28 July 2009
- A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on t194 bytes (25 words) - 13:32, 7 December 2008
- In [[abstract algebra]], an '''algebra over a field''' ''F'', or ''F''-'''algebra''' is a [[ring1 KB (155 words) - 15:55, 23 December 2008
- 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
- ...a permutation and an identity.<ref>Fraleigh J B (2003) ''A First Course in Abstract Algebra'' ISBN 0321156080, section 8</ref> ...e number of elements are [[isomorphism (algebra)|isomorphic]], and since [[abstract algebra]] is generally only concerned with groups, [[ring theory|rings]], [[field (2 KB (244 words) - 20:34, 1 July 2009
- {{r|Abstract algebra}}1 KB (174 words) - 20:03, 11 January 2010
- {{r|Abstract algebra}}2 KB (247 words) - 06:00, 7 November 2010
- {{r|Abstract algebra}}898 bytes (114 words) - 10:49, 11 January 2010
- {{r|Abstract algebra}}715 bytes (91 words) - 17:34, 10 December 2008
- In [[mathematics]], especially in the area of [[abstract algebra|algebra]] studying the theory of [[abelian group]]s, an '''essential subgro802 bytes (112 words) - 03:33, 2 February 2009
- The '''Chinese remainder theorem''' is the name of a theorem in [[abstract algebra]], which, in its most general formulation, provides information about the s394 bytes (62 words) - 13:04, 18 November 2008
- {{r|Abstract algebra}}1 KB (146 words) - 16:32, 11 January 2010
- {{r|Abstract algebra}}1 KB (180 words) - 17:00, 11 January 2010
- * In [[abstract algebra]], an equivalence relation which respects algebraic operations645 bytes (93 words) - 12:51, 31 May 2009
- {{r|Abstract algebra}}598 bytes (78 words) - 20:14, 11 January 2010
- {{r|Abstract algebra}}648 bytes (83 words) - 10:12, 11 May 2009
- In [[mathematics]], particularly in [[abstract algebra]] and [[homological algebra]], a '''resolution''' is a sequence which is us2 KB (296 words) - 14:49, 28 October 2008
- {{r|abstract algebra}}668 bytes (88 words) - 12:30, 29 November 2008
- ...umber]]s and later to arbitrary [[field]]s. In the second place notions of abstract algebra have led to a natural generalization of algebraic geometry, namely to the c2 KB (287 words) - 10:43, 11 June 2009
- {{r|Abstract algebra}}2 KB (262 words) - 19:07, 11 January 2010
- ...mials, we need only know how to add and multiply their coefficients. In [[abstract algebra]], an abstract collection of objects that can be added and multiplied subje ...number'' when one thinks of a function. The distinction is important in [[abstract algebra]], because what we have called "constant numbers" is more generally replace10 KB (1,741 words) - 10:04, 3 January 2009
- In [[abstract algebra]], '''pointwise operation''' is a way of extending an [[operation (mathemat1,002 bytes (157 words) - 13:37, 8 March 2009
- In [[abstract algebra]], the '''group isomorphism problem''' is the [[decision problem]] of deter1 KB (164 words) - 17:17, 28 October 2008
- In [[abstract algebra]], a linear map is a [[homomorphism]] of vector spaces.1 KB (196 words) - 17:24, 20 December 2007
- In [[mathematics]], particularly in [[abstract algebra]] and [[homological algebra]], an '''exact sequence''' is a sequence of alg3 KB (471 words) - 17:22, 15 November 2008
- The term '''basis''' is also used in [[abstract algebra]], specifically in the theory of [[free module]]s. For more on this use of3 KB (464 words) - 19:45, 1 December 2008
- In the [[mathematics|mathematical]] field of [[abstract algebra]], an '''abelian group''' is a type of [[group (mathematics)|group]] in whi2 KB (240 words) - 10:48, 21 September 2013
- * '''[[Abstract algebra]]''', sometimes also called ''modern algebra'', in which [[algebraic struct == Abstract algebra ==18 KB (2,669 words) - 08:38, 17 April 2024
- ...hematical physics]]. This article deals exclusively with fields as used in abstract algebra.3 KB (496 words) - 22:16, 7 February 2010
- ...hin pure mathematics, modular arithmetic is of fundamental importance in [[abstract algebra]] and [[number theory]].2 KB (267 words) - 13:18, 6 December 2008
- In 1870, he introduced a major contribution to the development of modern abstract algebra, his ''[[Linear Associative Algebra]]''.<ref>Helena M. Pycior, "Benjamin Pe8 KB (1,209 words) - 08:09, 28 September 2013
- ...his books, in particular ''Algebra'', his graduate-level introduction to [[abstract algebra]]. Lang's ''Algebra'', a graduate-level introduction to [[abstract algebra]], was a highly influential text that ran through numerous updated editions7 KB (1,058 words) - 07:16, 9 June 2009
- ...nd [[vector space]]s are particular types. They have become ubiquitous in abstract algebra and other areas of mathematics that involve algebraic structures, such as a7 KB (1,154 words) - 02:39, 16 May 2009
- * 1832: Galois theory is developed by [[Évariste Galois]] in his work on abstract algebra.<ref name="Stewart"> </ref>8 KB (1,117 words) - 08:22, 5 December 2011
- ...ples, is that of the abstract [[ring (mathematics)|ring]] encountered in [[abstract algebra]].5 KB (638 words) - 14:16, 17 December 2008
- [[Abstract algebra]] studies abstract number systems such as [[group (mathematics)|group]]s, [11 KB (1,701 words) - 20:07, 1 July 2021
- In [[abstract algebra]], we get some related structures which are similar to groups by relaxing s * Herstein, I.N. ''Abstract Algebra'', Wiley, ISBN 0-471-36879-219 KB (3,074 words) - 11:11, 13 February 2009
- ...√2. However, this question leads us outside arithmetic proper into [[abstract algebra]] and [[number theory]]. In the latter branches of mathematics it is studie4 KB (562 words) - 18:28, 5 January 2010
- Fraleigh, John B. 2003. ''A First Course in Abstract Algebra''. 7th ed. Boston: Addison-Wesley10 KB (1,667 words) - 13:47, 5 June 2011
- In the language of [[abstract algebra]], the first five properties listed above for addition say that '''Z''' und Again, in the language of abstract algebra, the above says that '''Z''' is a [[Euclidean domain]]. This implies that '10 KB (1,566 words) - 08:34, 2 March 2024
- ...rtrand Russell, applied to logic mathematical techniques, such as those of abstract algebra, with a degree of sophistication never before used in the area. The result10 KB (1,529 words) - 16:45, 10 February 2024
- ...bstract systems, which are themselves such objects. This is the field of [[abstract algebra]]. An important concept here is that of [[vector (spatial)|vector]]s, gener | [[Number theory]] || [[Set theory]] || [[Abstract algebra]] || [[Group theory]] || [[Order theory]]30 KB (4,289 words) - 16:03, 20 January 2023
- ...procity and cyclotomy, but truly came into its own with the development of abstract algebra and early ideal theory and valuation theory; see below. An obvious conventi27 KB (4,383 words) - 08:05, 11 October 2011
- abstract algebra and early ideal theory and valuation theory.35 KB (5,526 words) - 11:29, 4 October 2013
- * [[Abstract algebra]]25 KB (3,600 words) - 14:27, 31 March 2024
- ...theory]], [[Computational complexity theory|computational complexity]], [[abstract algebra]], and [[number theory]]. However, cryptography is not ''just'' a branch of52 KB (8,332 words) - 05:49, 8 April 2024