DUO Chained -Semigroups
A. Gangadhara Rao, A. S. R. Anjaneyulu, D. Madhusudhana Rao · 2012
In this paper we introduce the terms left α-cancelltive, right α-cancellative, αcancellative, left Γ-cancellative, right Γ-cancellative, Γ-cancellative, strongly left cancellative, strongly right cancellative, strongly cancellative elements, α-inverse, Γ-inverse, complete inverse of an element, unit in a Γ-semigroup and a duo chained Γ-semigroup. It is proved that if P is a prime -ideal of a duo chained Γ-semigroup S and P x then P P x n n ) ( 1 . It is also proved that every duo chained