The paper gives description of regular elements of the semigroup *B*_{x}(D) which are defined by semilattices of the class Σ_{2}(*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 B_{x}(D) which is defined by semilattices of the class Σ_{2}(X,8).

Periodical:

International Journal of Pure Mathematical Sciences (Volume 16)

Pages:

1-23

DOI:

10.18052/www.scipress.com/IJPMS.16.1

Citation:

Y. Diasamidze and N. Tsinaridze, "Regular Elements of the Semigroup B_{x}(D) Defined by Semilattices of the Class Σ_{2}(X,8), when Ζ_{7 }∩ Z_{6 }=Ø and their Calculation Formulas", International Journal of Pure Mathematical Sciences, Vol. 16, pp. 1-23, 2016

Online since:

Mar 2016

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License