Equiprime, 3-prime and c-prime fuzzy ideals of Nearrings

Kedukodi, Babushri Srinivas and Kuncham, Syam Prasad and Bhavanari, Satyanarayana (2009) Equiprime, 3-prime and c-prime fuzzy ideals of Nearrings. Soft Computing - A Fusion of Foundations, Methodologies and Applications, 13 (10). pp. 933-944. ISSN 1433-7479

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Abstract

In this paper, we present the notions of equiprime fuzzy ideal, 3-prime fuzzy ideal and c-prime fuzzy ideal of a nearring. We characterize these fuzzy ideals using level subsets and fuzzy points. If f: N ? M is an onto nearring homomorphism, we show that the map l 7!f ðlÞ defines a one-to-one correspondence between the set of all f-invariant (alternatively with sup property) equiprime (3-prime and c-prime, respectively) fuzzy ideals of N and the set of all equiprime (3-prime and c-prime, respectively) fuzzy ideals of M. Finally, we define fuzzy cosets determined by generalized fuzzy ideals; obtain fundamental results and isomorphism theorems.

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