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Regular Elements of the Semigroup Bx(D) Defined by Semilattices of the Class Σ2(X,8), when Ζ7 ∩ Z6 =Ø and their Calculation Formulas

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Abstract:

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).

Info:

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 Bx(D) Defined by Semilattices of the Class Σ2(X,8), when Ζ7 ∩ Z6 =Ø and their Calculation Formulas", International Journal of Pure Mathematical Sciences, Vol. 16, pp. 1-23, 2016
Online since:
Mar 2016
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