Calcul sur ordinateur de demi-groupes finis de transformations
Catalan monoids, monoids of local endomorphisms, and their presentations.
Centralizers in symmetric inverse semigroups: Structure and order.
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 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...
Characters and the structure of finite semigroups.
Classification of Sn-normal semigroups.
Closed ideals in semigroups of continuous selfmaps.
Combinatorial results for semigroups of order-decreasing partial transformations.
Commutation of operations and its relationship with Menger and Mann superpositions
The article considers a problem from Trokhimenko paper [13] concerning the study of abstract properties of commutations of operations and their connection with the Menger and Mann superpositions. Namely, abstract characterizations of some classes of operation algebras, whose signature consists of arbitrary families of commutations of operations, Menger and Mann superpositions and their various connections are found. Some unsolved problems are given at the end of the article.
Compactification and linearization of abstract dynamical systems
Compactness conditions for semigroups of linear maps.
Compatible function semigroups
Complete description of substitutions in cylindric algebras and other algebraic logics
Completely regular semigroups as semigroups of partial transformations.
Completely simple congruences on Croisot-Teissier semigroups.
Completely simple semigroups of matrices.
Compression Semigroups of Open Orbits on Real Flag Manifolds.
Computing finite commutative semigroups.
Congruence lattices of Rees matrix semigroups.