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  • In [[algebra]], an '''identity element''' or '''neutral element''' with respect to a [[binary operation]] is an el holds for all ''x'' in ''X''. An identity element, if it exists, is unique.
    927 bytes (140 words) - 14:33, 8 December 2008
  • 162 bytes (23 words) - 01:15, 6 December 2008
  • 850 bytes (136 words) - 14:37, 8 December 2008

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  • * [[Identity element]], or neutral element, with respect to a binary operation, an element which
    591 bytes (78 words) - 11:52, 31 May 2009
  • In [[algebra]], an '''identity element''' or '''neutral element''' with respect to a [[binary operation]] is an el holds for all ''x'' in ''X''. An identity element, if it exists, is unique.
    927 bytes (140 words) - 14:33, 8 December 2008
  • Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation.
    197 bytes (30 words) - 07:22, 4 September 2009
  • ...]] (if one exists) such that raising the element to that power gives the [[identity element]] of the group. If there is no such number, the element is said to be of '
    857 bytes (146 words) - 12:24, 1 February 2009
  • #REDIRECT [[Identity element]]
    30 bytes (3 words) - 13:42, 7 November 2008
  • #REDIRECT [[Identity element]]
    30 bytes (3 words) - 13:43, 7 November 2008
  • #REDIRECT [[Identity element]]
    30 bytes (3 words) - 15:01, 6 November 2008
  • ...n [[inverse function]]). It is a [[permutation]] of the set, and is the [[identity element]] of the [[symmetric group]] on ''X''.
    425 bytes (64 words) - 14:38, 7 February 2009
  • * The zero (additive identity element) of a [[ring (mathematics)|ring]] is an absorbing element for the ring mult
    726 bytes (112 words) - 14:21, 21 December 2008
  • ...r, off-diagonal, entries equal to zero. The identity matrix acts as the [[identity element]] for [[matrix multiplication]]. Its entries are those of the [[Kronecker
    1,020 bytes (136 words) - 09:39, 23 April 2009
  • * There is an [[identity element]] <math>I \in M</math> such that ...have at most one inverse (note that <math>x = y^{-1}</math> as well). The identity element is self-inverse and the product of invertible elements is invertible,
    3 KB (526 words) - 10:02, 23 December 2008
  • An algebraic structure with an associative binary operation and an identity element.
    120 bytes (15 words) - 01:21, 9 November 2008
  • {{r|Identity element}}
    514 bytes (67 words) - 20:47, 11 January 2010
  • A square matrix with ones on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.
    152 bytes (21 words) - 12:19, 5 December 2008
  • Examples include an [[identity element]] or an [[absorbing element]]. An important class of examples is formed by
    1,007 bytes (146 words) - 15:14, 13 December 2008
  • {{r|Identity element}}
    965 bytes (124 words) - 16:23, 11 January 2010
  • ...a homomorphism''' is the set of all elements of the domain that map to the identity element of the codomain. This subset is a [[normal subgroup]], and every normal su ...ve]] homomorphism (or, equivalently, one whose kernel consists only of the identity element).
    1 KB (210 words) - 00:00, 11 February 2009
  • {{r|Identity element}}
    969 bytes (124 words) - 17:42, 11 January 2010
  • ...cs)|group]] or [[vector space]] have a distinguished element, such as an [[identity element]], and [[morphism]]s of the structures respect those elements.
    1 KB (168 words) - 11:06, 22 November 2008
  • * [[Kernel of a homomorphism]], the elements mapped to the [[identity element]] by a [[homomorphism]]
    387 bytes (58 words) - 08:26, 30 September 2009

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