Congruences on Menger algebras
Wieslaw A. Dudek, Valentin S. Trokhimenko
TL;DR
This paper explores various congruences on Menger algebras, generalizing classical semigroup congruences, and investigates their properties and relationships with cancellation and strong subsets.
Contribution
It introduces new types of congruences on Menger algebras and analyzes their connections with cancellation properties and strong subsets.
Findings
Characterization of congruences admitting cancellations
Relationships between congruences and strong subsets
Generalization of principal congruences on semigroups
Abstract
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 admitting various types of cancellations and describe their relationship with strong subsets.
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