Author(s)

Nino Tsinaridze, Shota Makharadze, Guladi Fartenadze

Department of Mathematics, Faculty of Physics, Mathematics and Computer Sciences, Shota Rustaveli Batumi State University, Batumi, Georgia.

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).

Semilattice, Semigroup, Binary Relation, Regular Element

Tsinaridze, N. , Makharadze, S. and Fartenadze, G. (2015) Regular Elements of the Semigroup B _X (D) Defined by Semilattices of the Class Σ₂ (X, 8) and Their Calculation Formulas. Applied Mathematics, 6, 2257-2278. doi: 10.4236/am.2015.614199.