Direct decomposability of tolerances on lattices, semilattices and quasilattices
Direct summands of Goldie extending elements in modular lattices
In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element of a lattice with is said to be a Goldie extending element if and only if for every there exists a direct summand of such that is essential in both and . Some characterizations of decomposition of a Goldie extending element in a modular lattice are obtained.
Directly decomposable tolerances on direct products of lattices and semilattices
Distinguishing subsets in lattices
Double -algebras with Stone congruence lattices