Article ID Journal Published Year Pages File Type
4649715 Discrete Mathematics 2008 4 Pages PDF
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.

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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A note on atomistic weak congruence lattices
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