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Makharadze, Sh., Aydin, N. and Erdogan, A. (2015) Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑₁(X,10). Applied Mathematics, 6, 274-294.
http://dx.doi.org/10.4236/am.2015.62026

has been cited by the following article:

• TITLE: Regular Elements of Bx(D) Defined by the Class ∑1(X,10)-I

  AUTHORS: Yasha Diasamidze, Nino Tsinaridze, Neşet Aydn, Neşet Aydn, Ali Erdoğan

  KEYWORDS: Semilattice, Semigroup, Binary Relation

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

  ABSTRACT: In order to obtain some results in the theory of semigroups, the concept of regularity, introduced by J. V. Neumann for elements of rings, is useful. In this work, all regular elements of semigroup defined by semilattices of the class ∑1(X,10)-Iare studied. When X has finitely many elements, we have given the number of regular elements.