Inverse semirings and their lattice of congruences
Joins and meets of congruences on a regular semigroup.
Joins of congruences in -groups
Kernels of tolerance relations.
Lattice isomorphisms of commutative relatively free semigroups.
Lattice valued algebras.
In this paper we propose a general approach to the theory of fuzzy algebras, while the early existing papers deal with a particular type of fuzzy structures as fuzzy groups, fuzzy ideals, fuzzy vector spaces and so on.
LC-commutative permutable semigroups.
Local versions of some congruence properties in single algebras
We investigate some local versions of congruence permutability, regularity, uniformity and modularity. The results are applied to several examples including implication algebras, orthomodular lattices and relative pseudocomplemented lattices.
Locally coherent algebras
Mal'cev conditions for congruence-regular and congruence-permutable varieties
Mal'cev conditions for directly decomposable compatible relations
Mal'cev-type theorems for partial congruences
Metrics and tolerances
Minimal conditions on Clifford semigroup congruences.
Modular elements in congruence lattices of -sets.
Modularity and distributivity of tolerance lattices of commutative inverse semigroups
Modularity and distributivity of tolerance lattices of commutative separative semigroups
Note on algebraic interior systems
We get an interrelation between an algebraic closure system and its conjugated interior system. We introduce the concept of algebraic interior system and we get its representation.
Note on compatible binary relations on algebras
Notes on left distributive groupoids