Centralizers in symmetric inverse semigroups: Structure and order.
Certain fundamental congruences on the tensor product of commutative inverse semigroups
Certain partial orders on semigroups
Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on general, regular, completely semisimple and completely regular semigroups. Special properties of these relations as well as possible coincidence of some of them are investigated in some detail. The properties considered are mainly those of being a partial order or compatibility with multiplication. Coincidences of some of these relations are studied mainly on regular and completely regular semigroups.
Certain Rees matrix semigroups with universal properties.
Certain subsemigroups of orthodox semigroups.
Chain semigroups
Chains of factorizations in orders of global fields
Characterisations of extremly amenable semigroups.
Characterization of bands satisfying no non-trivial identity.
Characterization of monoids by condition (P) of cyclic left acts.
Characterizations of certain general and reproductive solutions of arbitrary equations
Characterizations of dual semigroups
Characterizations of effective sets and nonexpansive multipliers in conditionally complete and infinitely distributive partially ordered sets.
Characterizations of right dense languages.
Characterizations of totally ordered sets by their various endomorphisms
We characterize totally ordered sets within the class of all ordered sets containing at least three-element chains using a simple relationship between their isotone transformations and the so called 2-, 3-, 4-endomorphisms which are introduced in the paper. Another characterization of totally ordered sets within the class of ordered sets of a locally finite height with at least four-element chains in terms of the regular semigroup theory is also given.
Characterizing intraregular semigroups by intuitionistic fuzzy sets.
In this paper, we give some theorems which characterize the intraregular semigroups in terms of intuitionistic fuzzy left, right, and biideals.
Characterizing ordered quasi-ideals of ordered -semigroups
Characterizing pure, cryptic and Clifford inverse semigroups
An inverse semigroup is pure if , , implies ; it is cryptic if Green’s relation on is a congruence; it is a Clifford semigroup if it is a semillatice of groups. We characterize the pure ones by the absence of certain subsemigroups and a homomorphism from a concrete semigroup, and determine minimal nonpure varieties. Next we characterize the cryptic ones in terms of their group elements and also by a homomorphism of a semigroup constructed in the paper. We also characterize groups and...
Characterizing topology on an Abelian semigroup by a functional equation
Characters and the structure of finite semigroups.