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• Tensor product of Lie rings is commutative up to natural isomorphism
  Suppose M and N are (not necessarily abelian) Lie rings with a compatible ... * Tensor product of groups is commutative up to natural isomorphism ... ...
  758 bytes (127 words) - 19:06, 23 June 2013
• Lazard correspondence defines isomorphism of categories over Set between full subcategories of the category of groups and the category of Lie rings
  * The full subcategory of the category of groups comprising the Lazard ... * The full subcategory of the category of groups comprising the Lazard ... ...
  1 KB (197 words) - 23:16, 26 June 2013
• LCS-Lazard correspondence defines isomorphism of categories over Set between full subcategories of the category of groups and the category of Lie rings
  * The full subcategory of the category of groups comprising the LCS ... * The full subcategory of the category of groups comprising the LCS ... ...
  1 KB (197 words) - 15:35, 27 June 2013
• Baer correspondence induces an isomorphism of categories between Baer Lie rings and Baer Lie groups
  #REDIRECT Equivalence of definitions of Baer Lie category ... ...
  61 bytes (8 words) - 22:26, 4 April 2011

Page text matches

• Isoclinism of Lie rings
  An isoclinism of Lie rings is an isologism of Lie rings with respect ... For any Lie ring L, let Z(L) denote the center of L, \operatorname{Inn} ... ...
  2 KB (281 words) - 20:46, 2 May 2013
• Isomorphism of fields
  A function \varphi:K \to L is termed an isomorphism of fields if \varphi is ... If an isomorphism exists between two fields, we say that the fields ... ...
  936 bytes (148 words) - 18:03, 9 January 2024
• LCS-Lazard correspondence defines isomorphism of categories over Set between full subcategories of the category of groups and the category of Lie rings
  * The full subcategory of the category of groups comprising the LCS ... * The full subcategory of the category of groups comprising the LCS ... ...
  1 KB (197 words) - 15:35, 27 June 2013
• Lazard correspondence defines isomorphism of categories over Set between full subcategories of the category of groups and the category of Lie rings
  * The full subcategory of the category of groups comprising the Lazard ... * The full subcategory of the category of groups comprising the Lazard ... ...
  1 KB (197 words) - 23:16, 26 June 2013
• Lie rings of prime-square order
  Let p be a prime number. There are, up to isomorphism, three Lie rings ... article; there is no standard enumeration of the Lie rings of prime-square ... ...
  963 bytes (151 words) - 01:07, 21 July 2010
• Tensor product of Lie rings is commutative up to natural isomorphism
  Suppose M and N are (not necessarily abelian) Lie rings with a compatible ... * Tensor product of groups is commutative up to natural isomorphism ... ...
  758 bytes (127 words) - 19:06, 23 June 2013
• Equivalence of definitions of LCS-Lazard Lie category
  #redirect LCS-Lazard correspondence defines isomorphism of categories over Set between full subcategories of the category of groups and the category ... ...
  165 bytes (23 words) - 15:34, 27 June 2013
• Equivalence of definitions of Lazard Lie category
  #redirect Lazard correspondence defines isomorphism of categories over Set between full subcategories of the category of groups and the category ... ...
  161 bytes (23 words) - 23:11, 26 June 2013
• Tensor product of Lie rings
  Suppose M and N are Lie rings and \alpha:M \to \operatorname{Der} ... if we are dealing with Lie algebras instead of Lie rings, we will replace ... ...
  4 KB (697 words) - 02:18, 24 June 2013
• Abelian Lie correspondence
  ===The setup of the correspondence=== abelian correspondence, is a special case of the Lazard correspondence, ... ...
  3 KB (459 words) - 23:57, 11 January 2014
• Lazard correspondence up to isoclinism
  is a slight variation up to isoclinism of the Lazard correspondence. ... The permissible Lie rings are Lie rings for which both the derived ... ...
  2 KB (430 words) - 02:25, 28 November 2012
• Exterior square of a Lie ring
  Suppose L is a Lie ring. The exterior square of L, denoted L \wedge ... # It is the exterior product of L with itself, viewing it as two copies ... ...
  1 KB (187 words) - 01:41, 22 January 2013
• Associated Lie ring of free group equals free Lie ring on abelianization
  The result is attributed to Magnus and Witt and the isomorphism of ... Suppose F is a free group. Then, the associated Lie ring of F is isomorphic ... ...
  716 bytes (113 words) - 01:31, 21 June 2012
• Nilpotent Lie rings of prime-cube order
  | Total number of nilpotent Lie rings || 5 |- | Number of abelian Lie rings || 3 |- | Number of non-abelian Lie rings ... ...
  1 KB (194 words) - 22:15, 4 August 2011
• Baer correspondence up to isoclinism
  Equivalence classes under isoclinism of groups of nilpotency class ... L is identified with a group G via a pair of isomorphisms: ... ...
  1 KB (195 words) - 06:56, 14 February 2012
• Classification of nilpotent Lie rings of prime-cube order
  Let p be a prime number. There are, up to isomorphism, five possibilities ... For odd primes, we can use the Baer correspondence (a special case ... ...
  5 KB (858 words) - 22:15, 4 August 2011
• Tensor product of groups is commutative up to natural isomorphism
  abelian) groups with a compatible pair of actions \alpha:G \to \operatorname{Aut} ... Note that this natural isomorphism is self-inverse, i.e., the natural ... ...
  2 KB (261 words) - 01:54, 24 June 2013
• Nilpotent Lie rings of order 8
  {{algebraic structures of order| order = 8| structure = nilpotent Lie ring}} ... | Total number of nilpotent Lie rings || 5 |- | Number of abelian Lie ... ...
  2 KB (282 words) - 05:57, 9 February 2013
• Lie rings of prime-cube order
  Let p be a prime number. Up to isomorphism, here are the Lie rings ... For the explanation of why these are precisely the Lie rings of prime ... ...
  3 KB (420 words) - 00:08, 26 April 2011
• Element structure of general linear group of degree two over a finite discrete valuation ring
  This article discusses the element structure of the general linear ... (here p = q), \mathbb{F}_q[t]/(t^l), and Galois rings. ... ...
  3 KB (437 words) - 21:30, 11 September 2012