Ternary Γ-SO-semirings-3

Abstract

“In this paper we are introducing the notions of subtractive and strong subsets in partial ternary Γ-semirings. We show that in a ternary Γ-SO semiring satisfying that every non-zero ideal is strong and subtractive Further we will show that join of any two ideals is equal to the sum of those two ideals in a ternary Γ-SO semiring satisfying the decomposition property. In a ternary Γ-SO semiring satisfying the decomposition property then ideal(R) is a distributive lattice”.