Irreducible Generating Sets of Complete Semigroups of Unions Bx(D) Defined by Semilattices of Class Σ2(X, 4), Where |X| = 3

Resumo

In complete semigroups of unions B_x(D) defined by semilattices of class Σ₂(X, 4), where |X| = 3, we select subsets of a certain type on which a binary equivalent relation is defined. By means of this relation, we describe irreducible generating sets of considered semigroups.