Diasamidze, Ya., Givradze, O. and Tavdgiridze, G. (2016) Idempotent Elements of the Semigroups B_x(D) Defined by Semilattices of the Class ∑₃(X,8) When Z₇≠Ø. Applied Mathematics, 7, 193-218.
http://dx.doi.org/10.4236/am.2016.73019

has been cited by the following article:

• TITLE: Idempotent Elements of the Semigroups BX(D) Defined by Semilattices of the Class ∑3 (X,8) When Z7=Ø

  AUTHORS: G. Tavdgiridze, Ya. Diasamidze, O. Givradze

  KEYWORDS: Semilattice, Semigroup, Binary Relation, Idempotent Element

  JOURNAL NAME: Applied Mathematics, Vol.7 No.9, May 27, 2016

  ABSTRACT: In this paper, complete semigroup binary relation is defined by semilattices of the class . We give a full description of idempotent elements of given semigroup. For the case where X is a finite set and , we derive formulas by calculating the numbers of idempotent elements of the respective semigroup.