• In universal algebra, a congruence-permutable algebra is an algebra whose congruences commute under composition. This symmetry has several equivalent characterizations...
    3 KB (364 words) - 14:23, 17 December 2020
  • algebra is called congruence permutable if every pair of its congruences permutes; likewise a variety is said to be congruence-permutable if all its members...
    10 KB (1,497 words) - 07:09, 29 January 2023
  • In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other...
    43 KB (5,500 words) - 03:41, 6 January 2024
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    terms this is the difference between congruence and similarity, as exemplified by SSS (side-side-side) congruence of triangles and AAA (angle-angle-angle)...
    56 KB (7,844 words) - 08:45, 30 June 2024
  • forms Matrix congruence Matrix equivalence Jacobi rotation Beauregard, Raymond A.; Fraleigh, John B. (1973). A First Course In Linear Algebra: with Optional...
    8 KB (1,081 words) - 22:27, 10 April 2024
  • Thumbnail for Normal subgroup
    In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...
    19 KB (3,157 words) - 18:43, 9 May 2024
  • The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David...
    81 KB (11,125 words) - 11:46, 25 February 2024
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    figures are congruent to themselves in more than one way, and these extra congruences are called symmetries. A square has eight symmetries. These are: the...
    101 KB (13,126 words) - 14:06, 5 August 2024
  • Thumbnail for Simplex
    n-paths are isometric, and so is their convex hulls; this explains the congruence of the simplexes. To show the other assertions, it suffices to remark...
    51 KB (7,842 words) - 23:22, 13 August 2024
  • Thumbnail for Projective linear group
    In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL)...
    44 KB (5,611 words) - 02:50, 2 March 2024