In universal algebra, a congruence-permutable algebra is an algebra whose congruences commute under composition. This symmetry has several equivalent characterizations...

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...

In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other...

forms Matrix congruence Matrix equivalence Jacobi rotation Beauregard, Raymond A.; Fraleigh, John B. (1973). A First Course In Linear Algebra: with Optional...

terms this is the difference between congruence and similarity, as exemplified by SSS (side-side-side) congruence of triangles and AAA (angle-angle-angle)...

The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David...

In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...

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...

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...

In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL)...