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.