Semigroup representations of medial groupoids
Semigroups and lattices.
Semigroups whose proper left ideals are commutative
Semigroups whose proper subsemigroups are quasicommutative.
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids
Arithmetical invariants—such as sets of lengths, catenary and tame degrees—describe the non-uniqueness of factorizations in atomic monoids.We study these arithmetical invariants by the monoid of relations and by presentations of the involved monoids. The abstract results will be applied to numerical monoids and to Krull monoids.
Sets of lengths do not characterize numerical monoids.
Simple zeropotent paramedial groupoids are balanced
This short note is a continuation of and and its purpose is to show that every simple zeropotent paramedial groupoid containing at least three elements is strongly balanced in the sense of .
Some properties of -operations
In the paper the problem of mathematical properties of -operations and weak -operations introduced by the author for interpretation of connectives “and”, “or”, and “also” in fuzzy rules is considered. In previous author’s papers some interesting properties of fuzzy systems with these operations were shown. These operations are weaker than triangular norms used commonly for a fuzzy system described by set of rules of the type if – then. Monotonicity condition, required for triangular norms, is...
Some remarks on certain partially ordered semigroups.
Some remarks on Lorenzen -group of partly ordered groups
Subdirectly irreducible right commutative semigroups.
Subsemigroups of Finitely Generated Groups with Divisor-Theory.