Authors: Šešelja, Branimir
Tepavčević, Andreja 
Title: A note on atomistic weak congruence lattices
Journal: Discrete Mathematics
Volume: 308
Issue: 10
First page: 2054
Last page: 2057
Issue Date: 28-May-2008
Rank: M23
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.04.046
Abstract: 
It is proved that a codistributive element in an atomistic algebraic lattice has a complement, implying that kernels of the related homomorphisms coincide. Some applications to weak congruence lattices of algebras are presented. In particular, necessary and sufficient conditions under which the weak congruence lattice of an algebra is atomistic are given.
Keywords: Atomistic lattice | CEP | CIP | Codistributive element | Weak congruences
Publisher: Elsevier
Project: Algebarske strukture i metode za procesiranje informacija, 144011

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