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.