Homomorphism in Weakly Γ-Ring

Abstract

Many algebraic structures have been defined so far. One of them, is that of Γ-ring, which is a generalization of ring. Weakening some of the conditions of the definition of Γ-ring, it has also been defined the concept of weakly Γ-ring. An important and well-known concept for every algebraic structure is homomorphism. In this paper, the concept of homomorphism in weakly Γ-ring is introduced. Further, some simple results analogous to the theory of rings, related to this concept are extended.   Received: 05 May 2022 / Accepted: 10 June 2023 / Published: 23 July 2023