Title
A note on atomistic weak congruence lattices
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.
Year
DOI
Venue
2008
10.1016/j.disc.2007.04.046
Discrete Mathematics
Keywords
Field
DocType
06C99,08A30
Discrete mathematics,Combinatorics,Congruence lattice problem,Algebraic number,Complemented lattice,Lattice (order),Homomorphism,Congruence (geometry),Mathematics
Journal
Volume
Issue
ISSN
308
10
0012-365X
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Branimir Šešelja117023.33
Andreja Tepavcevic214322.67