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

Babushri Srinivas Kedukodi; Syam Prasad Kuncham; Satyanarayana Bhavanari

doi:10.1007/s00500-008-0369-x

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

Babushri Srinivas Kedukodi, Syam Prasad Kuncham, Satyanarayana Bhavanari

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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 μ → f(μ) 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.

Original language	English
Pages (from-to)	933-944
Number of pages	12
Journal	Soft Computing
Volume	13
Issue number	10
DOIs	https://doi.org/10.1007/s00500-008-0369-x
Publication status	Published - 01-01-2009

All Science Journal Classification (ASJC) codes

Software
Theoretical Computer Science
Geometry and Topology

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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 μ → f(μ) 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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AU - Kedukodi, Babushri Srinivas

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N2 - 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 μ → f(μ) 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.

AB - 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 μ → f(μ) 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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Equiprime, 3-prime and c-prime fuzzy ideals of nearrings

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