Diassamidze, Ya., Erdogan, A. and Aydm, N. (2014) Some Regular Elements, Idempotents and Right Units of Complete Semigroups of Binary Relations Defined by Semilattices of the Class Lower Incomplete Nets. International Journal of Pure and Applied Mathematics, 93, 549-566.
http://dx.doi.org/10.12732/ijpam.v93i4.6

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.