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

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DOI: 10.4236/am.2015.62035    2,129 Downloads   2,380 Views   Citations

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 Bx(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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Tavdgiridze, G. and Diasamidze, Y. (2015) Regular Elements and Right Units of Semigroup Bx(D) Defined Semilattice D for Which V(D,а)=Q ∈ ∑3(X,8). Applied Mathematics, 6, 373-381. doi: 10.4236/am.2015.62035.

References

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http://dx.doi.org/10.12732/ijpam.v93i4.6
[8] Diasamidze, Ya. (2009) The Properties of Right Units of Semigroups Belonging to Some Classes of Complete Semigroups of Binary Relations. Proc. of A. Razmadze Math. Inst., 150, 51-70.

  
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