Diasamidze, Ya., Makharadze, Sh. and Rokva, N. (2008) On XI-Semilattices of Union. Bull. Georg. Nation. Acad. Sci., 2, 16-24.

has been cited by the following article:

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

  AUTHORS: Giuli Tavdgiridze, Yasha Diasamidze

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

  JOURNAL NAME: Applied Mathematics, Vol.6 No.2, February 10, 2015

  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.