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

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12 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 languageEnglish
Pages (from-to)933-944
Number of pages12
JournalSoft Computing
Volume13
Issue number10
DOIs
Publication statusPublished - 01-01-2009

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Geometry and Topology

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