Chaiwat Namnak, Ekkachai Laysirikul and Piyaporn Tantong

DOI: 10.14456/sjst-psu.2018.4

pp. 93 - 95

Abstract

Suppose R is a Green’s relation on a semigroup S and let R LC (S) =  (a ∈ S : ∀x, y ∈ S, ax = ay ⇒ x R y ). It is obvious that
RLC(S) is a subsemigroup of S if it is nonempty. The purpose of this paper is to study some properties of RLC(S . 

Keywords

• left cancellative
• Green’s relations