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

  • Authors:

  • Babushri Srinivas Kedukodi;Syam Prasad Kuncham;Satyanarayana Bhavanari

  • Affiliations:

  • Manipal University, Department of Mathematics, Manipal Institute of Technology, 576104, Manipal, Karnataka, India;Manipal University, Department of Mathematics, Manipal Institute of Technology, 576104, Manipal, Karnataka, India;Acharya Nagarjuna University, Department of Mathematics, Nagarjuna Nagar, 522510, Guntur, Andhra Pradesh, India

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications
  • Year:
  • 2009

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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.