1Department of Mathematics, VSR & NVR College, Tenali, Guntur(Dt), A.P., India
2GVVIT Engineering College, Tundurru, Bhimavaram, A.P., India
3Department of Mathematics, KBN College, Vijayawada, A.P., India
*Corresponding Email: dmrmaths@gmail.com, dmr040870@gmail.com
Online published on 8 November, 2017.
In this paper we introduce the notion of a ternary Γsemigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γsemigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them.
In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them
In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.
