An Introduction to Ternary Γ-Semirings

Abstract

In this research article has to introduce the concept of ternary Γ-semirings.We first consider the congruences and ideals of ternary Γ-semirings then we construct a new ternary Γ-semiring and to be discussed formation of ideals on this ternary Γ-semiring. Also with the help of congruences induced by homomorphism of a ternary Γ-semiring.After that we will establish some of isomorphism theorems and identified the some of commutativity in the diagrams. particularly  some fundamental results of ternary Γ-semiring were proved and strengthened.