| 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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