TITLE:
Regular Elements of the Semigroup B X (D) Defined by Semilattices of the Class Σ2 (X, 8) and Their Calculation Formulas
AUTHORS:
Nino Tsinaridze, Shota Makharadze, Guladi Fartenadze
KEYWORDS:
Semilattice, Semigroup, Binary Relation, Regular Element
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.14,
December
30,
2015
ABSTRACT: The paper gives description of regular elements of the semigroup B X (D) which are defined by semilattices of the class Σ2 (X, 8), for which intersection the minimal elements is not empty. When X is a finite set, the formulas are derived, by means of which the number of regular elements of the semigroup is calculated. In this case the set of all regular elements is a subsemigroup of the semigroup B X (D) which is defined by semilattices of the class Σ2 (X, 8).