the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem...
43 KB (5,500 words) - 09:42, 6 November 2024
finite lattice representation problem, or finite congruence lattice problem, asks whether every finite lattice is isomorphic to the congruence lattice of...
4 KB (437 words) - 06:45, 27 February 2024
rings, vector spaces, modules, semigroups, lattices, and so forth. The common theme is that a congruence is an equivalence relation on an algebraic object...
12 KB (1,702 words) - 04:04, 18 October 2024
Quotient (universal algebra) (redirect from Congruence lattice)
generating Maltsev conditions associated with congruence identities. Quotient ring Congruence lattice problem Lattice of subgroups A. G. Kurosh, Lectures on...
10 KB (1,497 words) - 07:09, 29 January 2023
groups is the congruence subgroup problem, which asks whether all subgroups of finite index are essentially congruence subgroups. Congruence subgroups of...
27 KB (4,782 words) - 20:37, 28 September 2024
Farrell–Jones conjecture Finite lattice representation problem: is every finite lattice isomorphic to the congruence lattice of some finite algebra? Goncharov...
190 KB (19,532 words) - 10:36, 2 November 2024
Hungarian-American mathematician whose research concerns clones, the congruence lattice problem, and other topics in universal algebra. She is a professor of...
3 KB (308 words) - 04:33, 7 June 2024
COIN-OR Linear Program Solver Communication Linking Protocol Congruence lattice problem Constraint Logic Programming Constraint logic programming (Real)...
2 KB (224 words) - 01:57, 6 October 2023
Semigroup (redirect from Semigroup congruence)
semigroup congruence ~ induces congruence classes [a]~ = {x ∈ S | x ~ a} and the semigroup operation induces a binary operation ∘ on the congruence classes:...
37 KB (4,677 words) - 01:13, 9 September 2024
arithmetic lattices in higher-rank groups have the congruence subgroup property but there are many lattices in S O ( n , 1 ) , S U ( n , 1 ) {\displaystyle...
31 KB (4,840 words) - 06:28, 11 August 2024