Author(s)

Nino Tsinaridze

Department of Mathematics, Faculty of Exact Sciences and Education, Batumi Shota Rustaveli State University, Batumi, Georgia.

In this article, we study generating sets of the complete semigroups of binary relations defined by X-semilattices of unions of the class Σ₈(X, 5). Found uniquely irreducible generating set for the given semigroups and when X is finite set formulas for calculating the number of elements in generating sets are derived.

Semigroup, Semilattice, Binary Relation

Tsinaridze, N. (2024) Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class Σ₈(X, 5). Applied Mathematics, 15, 169-197. doi: 10.4236/am.2024.152010.