FUZZY CONGRUENCE ON MΓ-GROUPS

FUZZY CONGRUENCE ON MΓ-GROUPS

D. S. Mangalore, S. P. Kuncham, H. Panackal

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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, intro- duced by Satyanarayana [12]. In this paper, we dene a fuzzy congruence onM????????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.

Keywords

M-group, congruence, nearring module.