Title of article
A note on atomistic weak congruence lattices
Author/Authors
Branimir ?e?elja، نويسنده , , Andreja Tepav?evi?، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
4
From page
2054
To page
2057
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
CEP , Weak congruences , Atomistic lattice , Codistributive element , CIP
Journal title
Discrete Mathematics
Serial Year
2008
Journal title
Discrete Mathematics
Record number
947291
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