On R-left cancellative semigroups
Chaiwat Namnak, Ekkachai Laysirikul, Piyaporn Tantong · DOAJ (DOAJ: Directory of Open Access Journals) · 2018
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 .