TITLE:
Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class Σ8(X, 5)
AUTHORS:
Nino Tsinaridze
KEYWORDS:
Semigroup, Semilattice, Binary Relation
JOURNAL NAME:
Applied Mathematics,
Vol.15 No.2,
February
29,
2024
ABSTRACT: 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.