13 citations · 34 across the 10 of their papers we have counts for
11 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…
Menger algebras of -place functions
Wieslaw A. Dudek, Valentin S. Trokhimenko
It is a survey of the main results on abstract characterizations of algebras of -place functions obtained in the last 40 years. A special attention is paid to those algebras of…
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 in transformative -semigroups
W. A. Dudek, V. S. Trokhimenko
We consider semigroups of transformations (partial mappings defined on a set ) closed under the set-theoretic intersection of mappings treated as subsets of . On such…
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…