Regular Elements and Right Units of Semigroup B_x(D) Defined Semilattice D for Which V(D,а)=Q ∈ ∑₃(X,8)

Giuli Tavdgiridze, Yasha Diasamidze

Department of Mathematics, Faculty of Physics, Mathematics and Computer Sciences, Shota Rustaveli Batumi State University, Batumi, Georgia.

DOI: 10.4236/am.2015.62035                

Abstract

In this paper we take subsemilattice of X-semilattice of unions D which satisfies the following conditions:
We will investigate the properties of regular elements of the complete semigroup of binary relations B_x(D) satisfying V(D,а)=Q. For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of regular elements and right units of the respective semigroup.

Keywords

Semilattice, Semigroup, Regular Element, Right Unit, Binary Relation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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