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Clifford, A.H. and Preston, G.B. (1961) The Algebraic Theory of Semigroups. (Russian) American Mathematical Society, Providence.

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: Giuli Tavdgiridze, Yasha Diasamidze, Omari Givradze

  KEYWORDS: Semilattice, Semigroup, Binary Relation, Idempotent Element

  JOURNAL NAME: Applied Mathematics, Vol.7 No.3, February 25, 2016

  ABSTRACT: In the 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.