13 citations
8 papers
Congruences on Menger algebras
Wieslaw A. Dudek, Valentin S. Trokhimenko
We discuss some types of congruences on Menger algebras of rank , which are generalizations of the principal left and right congruences on semigroups. We also study congruences…
Menger algebras of -place opening operations
Wieslaw A. Dudek, Valentin S. Trokhimenko
Algebraic properties of -place opening operations on a fixed set are described. Conditions under which a Menger algebra of rank can be represented by -place opening opera…
Subtraction Menger algebras
Wieslaw A. Dudek, Valentin S. Trokhimenko
Abstract characterizations of Menger algebras of partial -place functions defined on a set and closed under the set-theoretic difference functions treatment as subsets of th…
The relation of semiadjacency of -semigroups of transformations
Wieslaw A. Dudek, Valentin s. Trokhimenko
We consider two relations on a -semigroup of partial functions of a given set: the inclusion of domains and the semiadjacencity (i.e., the inclusion of the image of the first…
Stabilizers of functional Menger systems
Wieslaw A. Dudek, Valentin S. Trokhimenko
A functional Menger system is a set of -place functions containing projections and closed under the so-called Menger's composition of -place functions. We give the abstra…
Representations of Menger -semigroups by multiplace functions
Wieslaw A. Dudek, Valentin S. Trokhimenko
Investigation of partial multiplace functions by algebraic methods plays an important role in modern mathematics were we consider various operations on sets of functions, which are…