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
Orthogonal group (redirect from Special orthogonal Lie algebra)
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
Matrix similarity (redirect from Similar (linear algebra))
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
Normal subgroup (section Related notions in algebra)
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
Group (mathematics) (redirect from Group (algebra))
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
Simplex (section Algebraic topology)
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
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