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- Title
A COMMON GENERALIZATION OF FUZZY PRIMES.
- Authors
Zamani, Naser; Rezaei, Zeinab
- Abstract
Let R be a commutative ring with identity. Let FI(R) be the set of all fuzzy ideals of R and Φ : FI(R) → FI(R) ∪ {0R} be a function. We introduce the concept of fuzzy Φ-prime ideals of R and study some of its properties. It will be shown that under additional conditions fuzzy Φ-primeness implies fuzzy primeness. We also prove that in the decomposable rings fuzzy Φ(1)-primes and fuzzy primes coincide. The behavior of this concept with fuzzy localization and fuzzy quotient is also studied.
- Subjects
COMMUTATIVE rings; FUZZY integrals; QUOTIENT rings; ALGEBRA; MATHEMATICAL functions
- Publication
Matematicki Vesnik, 2013, Vol 65, Issue 4, p445
- ISSN
0025-5165
- Publication type
Article