Regular Elements of the Semigroup B X (D) Defined by Semilattices of the Class Σ2 (X, 8) and Their Calculation Formulas

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).

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Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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