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

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DOI: 10.4236/am.2015.614199    2,348 Downloads   2,578 Views  

ABSTRACT

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).

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.

References

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http://dx.doi.org/10.1007/s10958-008-9132-1
[6] Diasamidze, Ya. and Bakuridze, Al. (2015) On Some Properties of Regular Elements of Complete Semigroups Defined by Semilaices of the Class Σ4(x,8) International Journal of Engineering Science and Innovative Technology (IJESIT), 4, 8-15.

  
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