On Neutrosophic Γ-Semirings

Abstract

In this paper, we introduce and study the concept of Neutrosophic Γ-semiring and study various
properties. Also, we prove that there is a one-to-one correspondence between Neutrosophic Γ-semirings and
sub Γ-semirings of a Γ-semiring. Further, we prove that the set of all neutrosophic Γ-semirings is a De-Morgan
algebra. Moreover, we establish that the homomorphic image and inverse image of a Neutrosophic Γ-semiring
is also a Neutrosophic Γ-semiring