Equiprime, 3-prime and c-prime fuzzy ideals of nearrings |
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| Authors: | Babushri Srinivas Kedukodi Syam Prasad Kuncham Satyanarayana Bhavanari |
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| Affiliation: | (1) Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, Karnataka, 576104, India;(2) Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur, Andhra Pradesh, 522510, India |
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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  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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| Keywords: | Nearring Equiprime 3-prime c-Prime Fuzzy ideal Fuzzy point Quasi-coincident Level set Fuzzy coset |
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