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 Šešelja | 1 | 170 | 23.33 |
Andreja Tepavcevic | 2 | 143 | 22.67 |