Author(s)

Yasha Diasamidze¹, Nino Tsinaridze¹, Neşet Aydn², Neşet Aydn², Ali Erdoğan³

¹Shota Rustavelli University, Batumi, Georgia.
²Çanakkale Onsekiz Mart University, Çanakkale, Turkey.
³Hacettepe University, Ankara, Turkey.

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)-I are studied. When X has finitely many elements, we have given the number of regular elements.

Semilattice, Semigroup, Binary Relation

Diasamidze, Y. , Tsinaridze, N. , Aydn, N. , Aydn, N. and Erdoğan, A. (2016) Regular Elements of B_x(D) Defined by the Class ∑₁(X,10)-I. Applied Mathematics, 7, 867-893. doi: 10.4236/am.2016.79078.