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Diasamidze, Ya. and Bakuridze, Al. (2015) On Some Properties of Regular Elements of Complete Semigroups Defined by Semilaices of the Class Σ₄(x,8) International Journal of Engineering Science and Innovative Technology (IJESIT), 4, 8-15.

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).