Search results

Jump to navigation Jump to search

Page title matches

  • In the [[mathematics|mathematical]] field of [[abstract algebra]], an '''abelian group''' is a type of [[group (mathematics)|group]] in which the group operation ...r both to obtain and to describe than that of non-abelian groups. When an abelian group is also [[finitely generated]], the possible group structure is exceptional
    2 KB (240 words) - 10:48, 21 September 2013
  • 12 bytes (1 word) - 09:11, 13 May 2008
  • 88 bytes (12 words) - 10:00, 12 July 2008
  • {{r|Finitely generated abelian group}}
    245 bytes (30 words) - 10:06, 12 July 2008

Page text matches

  • {{r|Finitely generated abelian group}}
    245 bytes (30 words) - 10:06, 12 July 2008
  • In the [[mathematics|mathematical]] field of [[abstract algebra]], an '''abelian group''' is a type of [[group (mathematics)|group]] in which the group operation ...r both to obtain and to describe than that of non-abelian groups. When an abelian group is also [[finitely generated]], the possible group structure is exceptional
    2 KB (240 words) - 10:48, 21 September 2013
  • ...ially in the area of [[abstract algebra|algebra]] studying the theory of [[abelian group]]s, an '''essential subgroup''' is a subgroup that determines much of the s A [[subgroup]] <math>S</math> of a (typically [[abelian group|abelian]]) [[Group (mathematics)|group]] <math>G</math> is said to be '''es
    802 bytes (112 words) - 03:33, 2 February 2009
  • ...Baer-Specker group''', or '''Specker group''' is an example of an infinite Abelian group which is a building block in the structure theory of such groups. [[Reinhold Baer]] proved in 1937 that this group is ''not'' [[Free abelian group|free abelian]]; Specker proved in 1950 that every countable subgroup of ''B
    1 KB (151 words) - 16:18, 4 January 2013
  • ...ath>, such that these two maps, and the point <math>0</math> satisfy the [[Abelian group]] axioms. One dimensional Abelian varieties are [[elliptic curves]]. Over t
    522 bytes (82 words) - 02:26, 16 December 2008
  • ...This map is a [[group morphism]]. The [[kernel]] of the map is a finite [[Abelian group]] with at most four generators. The ismorphism type of the kernel is called
    2 KB (290 words) - 09:39, 13 January 2009
  • ...les over <math>\mathbb{Z}</math> (which is equivalent to the category of [[Abelian group|abelian groups]]), is also an abelian category.
    2 KB (235 words) - 18:20, 21 January 2008
  • Algebraic structure with two operations, combining an abelian group with a monoid.
    118 bytes (15 words) - 07:43, 15 June 2008
  • {{r|Abelian group}}
    461 bytes (59 words) - 07:40, 8 January 2010
  • An example of an infinite Abelian group which is a building block in the structure theory of such groups.
    141 bytes (22 words) - 15:30, 28 October 2008
  • {{r|Abelian group}}
    294 bytes (36 words) - 06:17, 15 June 2009
  • ...ristic subgroup|characteristic]] and the quotient ''G''/[''G'',''G''] is [[Abelian group|abelian]]. A quotient of ''G'' by a normal subgroup ''N'' is abelian if an
    1 KB (217 words) - 15:16, 11 December 2008
  • * {{cite book | author=Phillip A. Griffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of C
    227 bytes (28 words) - 16:21, 4 January 2013
  • ...as the [[least common multiple]] of the orders of the elements. For an [[Abelian group]], there is always an element whose order is equal to the exponent.
    857 bytes (146 words) - 13:24, 1 February 2009
  • {{r|Abelian group}}
    858 bytes (112 words) - 15:35, 11 January 2010
  • {{r|Abelian group}}
    201 bytes (27 words) - 11:59, 15 June 2009
  • A [[finite set|finite]] [[abelian group|abelian]] [[p-group|''p''-group]] ''M'' is a direct sum of [[cyclic group|c
    2 KB (264 words) - 22:53, 19 February 2010
  • ...group]], every subgroup is normal. This is because if <math>G</math> is an Abelian group, and <math>g,h \in G</math>, then <math>ghg^{-1} = h</math>.
    5 KB (785 words) - 09:22, 30 July 2009
  • ...up of four) is the smallest [[cyclic group|non-cyclic group]]. It is an [[Abelian group| Abelian (commutative) group]] of order 4.
    3 KB (395 words) - 11:25, 30 July 2009
  • ...[abstract algebra]], a '''module''' is a mathematical structure of which [[abelian group]]s and [[vector space]]s are particular types. They have become ubiquitous ...or [[commutative ring|commutative]]). A left <math>R</math>-module is an [[abelian group]] whose underlying set is endowed with an [[action (mathematics)]] by <math
    7 KB (1,154 words) - 02:39, 16 May 2009
View (previous 20 | ) (20 | 50 | 100 | 250 | 500)