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  • ...th>M^*</math> will depend on <math>M</math>: for most cases it denotes the invertible elements, but for <math>\mathbb{Z}</math> it means the nonzero integers (no
    8 KB (1,401 words) - 12:11, 17 June 2008
  • ...to confusion when <math>R</math> is also an [[ordered set]].) The set of invertible elements of <math>R</math> constitute a group under multiplication, denoted
    6 KB (994 words) - 05:16, 8 April 2015
  • ...nonzero [[fractional ideal]] of <math>R</math>. We call <math>I</math> '''invertible''' if there is a fractional ideal <math>I^{-1}</math> such that <math>II^{- '''Theorem:''' All fractional ideals of <math>R</math> are invertible.
    9 KB (1,648 words) - 15:36, 14 October 2017
  • ...one member from each [[congruence class]] modulo <math>p</math>, and each invertible element has inverses in only one such class.
    2 KB (340 words) - 14:52, 3 April 2012
  • ...= x</math>, for <math>x \in Z_{1987}</math>. Thus, <math>g</math> is an invertible function on a finite set of odd size, and hence must have a fixed point, sa
    5 KB (923 words) - 18:51, 21 January 2024
  • ...math>M</math>, as is the strict stabilizer. Also, if <math>a</math> is an invertible element of <math>M</math> and a member of the strict stabilizer of <math>A<
    3 KB (531 words) - 17:47, 9 September 2008
  • ...r | strict stabilizer]] of <math>A</math>). Also, if <math>a</math> is an invertible element of the fixer of <math>A</math>, then <math>a^{-1}</math> is evident
    2 KB (303 words) - 17:47, 9 September 2008
  • ...with only one object, (say <math>A</math>), and in which every morphism is invertible (and is therefore an automorphism of <math>A</math>). In terms of our old d
    5 KB (917 words) - 20:17, 7 September 2008
  • is either [[invertible]] or [[nilpotent]].
    2 KB (263 words) - 20:00, 19 April 2012
  • matrix <math>b</math> and an invertible matrix <math>c</math> such that
    8 KB (1,345 words) - 23:31, 8 May 2020
  • Since <math>k</math> is relatively prime to 2012, it is invertible mod 2012, so we must have <math>a \equiv b \pmod {2012}</math>. Since <math
    6 KB (1,064 words) - 15:36, 26 June 2023
  • ...h>a)</math> If <math>\text{rank}(A)=r<4</math>, prove the existence of two invertible matrices <math>U,V\in M_4(C)</math>, such that:
    10 KB (1,695 words) - 09:03, 10 May 2012
  • ...odulo <math>z^n</math>, polynomials of the form <math>1 - zf(z)</math> are invertible, with inverse
    8 KB (1,348 words) - 08:44, 25 June 2022
  • ...ath>a \in A</math> is a [[unit (ring theory)|unit]] if <math>a</math> is [[invertible]] in <math>A</math>; i.e. there exists an inverse <math>b \in A</math> such
    10 KB (1,646 words) - 14:04, 28 May 2020
  • Given that <math>A_n</math> is not easily invertible directly, but is invertible (as it is a sparse matrix): Given that <math>A_n^{-1}</math> is invertible, <math>\mu \neq 0</math>, therefore:
    3 KB (562 words) - 04:37, 25 May 2024
  • Given that <math>A_n</math> is not easily invertible directly, but is invertible (as it is a sparse matrix): Given that <math>A_n^{-1}</math> is invertible, <math>\mu \neq 0</math>, therefore:
    3 KB (566 words) - 15:38, 4 June 2024