Fuzzy congruence on M??groups

Abstract

In this paper, we consider an algebriac structure M?? group, which is a generalization of both the concepts module over a nearring and a gamma nearring, introduced by Satyanarayana [12]. In this paper, we define a fuzzy congruence on M??module and obtain the one-one correspondence between the fuzzy congruences and fuzzy ideals on M??groups. Further, we establish various related results between the congruences and ideals of M??groups.