Meet infinite distributivity for congruence lattices of direct sums of algebras
Heghine Ghumashyan, Jaroslav Guričan · Mathematica Slovaca · 2022
Abstract We study meet infinite distributivity (MID) in congruence lattices of direct sums of algebras. The main result of this note is that in a congruence distributive variety the MID of congruence lattices is preserved by direct sums of algebras, it means that the congruence lattice of a direct sum of algebras is MID if and only if a congruence lattice of every constituent algebra is MID.