Article citationsMore>>

Diasamidze, Ya., Makharadze, Sh. and Diasamidze, Il. (2008) Idempotents and Regular Elements of Complete Semigroups of Binary Relations. Journal of Mathematical Sciences, 153, 481-499.
http://dx.doi.org/10.1007/s10958-008-9132-1

has been cited by the following article:

• TITLE: Regular Elements of the Semigroup B X (D) Defined by Semilattices of the Class Σ2 (X, 8) and Their Calculation Formulas

  AUTHORS: Nino Tsinaridze, Shota Makharadze, Guladi Fartenadze

  KEYWORDS: Semilattice, Semigroup, Binary Relation, Regular Element

  JOURNAL NAME: Applied Mathematics, Vol.6 No.14, December 30, 2015

  ABSTRACT: The paper gives description of regular elements of the semigroup B X (D) which are defined by semilattices of the class Σ2 (X, 8), for which intersection the minimal elements is not empty. When X is a finite set, the formulas are derived, by means of which the number of regular elements of the semigroup is calculated. In this case the set of all regular elements is a subsemigroup of the semigroup B X (D) which is defined by semilattices of the class Σ2 (X, 8).