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- Title
FUZZY REPRESENTABLE MODULES AND FUZZY ATTACHED PRIMES.
- Authors
Zamani, Naser; Rezaei, Zeinab; A'zami, Jafar
- Abstract
Let M be a non-zero unitary module over a non-zero commutative ring R. A kind of uniqueness theorem for a non-zero fuzzy representable submodule μ of M will be proved, and then the set of fuzzy attached primes of μ will be defined. Then among other things, it will be shown that, whenever R is Noetherian, a fuzzy prime ideal ξ is attached to μ if and only if ξ is the annihilator of a fuzzy quotient of μ. The behavior of fuzzy attached primes with fuzzy quotient and fuzzy localization techniques will be studied.
- Subjects
FUZZY systems; REPRESENTATION theory; MODULES (Algebra); COMMUTATIVE rings; RING theory
- Publication
Matematicki Vesnik, 2015, Vol 67, Issue 3, p201
- ISSN
0025-5165
- Publication type
Article