Regular Elements of the Semigroup Bx(D) Defined by Semilattices of the Class Σ2(X,8), when Ζ7 ∩ Z6 =Ø and their Calculation Formulas
Yasha Diasamidze, Nino Tsinaridze · International Journal of Pure Mathematical Sciences · 2016
The paper gives description of regular elements of the semigroup Bx(D) which are defined by semilattices of the class Σ2(X,8), for which intersection the minimal elements is 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 Bx(D) which is defined by semilattices of the class Σ2(X,8).