Fuzzy maximal, radical, and primary ideals of a ring
Information Sciences: an International Journal
Fuzzy primary representations of fuzzy ideals
Information Sciences: an International Journal
Fuzzy primary representations of fuzzy ideals
Information Sciences: an International Journal
Extensions of fuzzy subrings and fuzzy ideals
Fuzzy Sets and Systems
Fuzzy coefficient fields of fuzzy subrings
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy principal ideals and fuzzy simple field extensions
Fuzzy Sets and Systems
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We characterize local rings in terms of certain fuzzy ideals. We also characterize rings of fractions at a prime ideal in terms of fuzzy ideals. We apply our results to fuzzy intersection equations. In particular, we show that the fuzzy ideal which represents a system of fuzzy intersection equations in a polynomial ring is such that its extension in a ring of fractions represents the same system of fuzzy intersection equations.