Fuzzy A-ideals in MV -modules
نویسنده
چکیده
In the present paper, we introduce the notion of fuzzy Aideals of MV -modules over PMV -algebras and several properties of fuzzy A-ideals are given. Using this concept, a prime fuzzy A-ideal is defined. Using a level set of a fuzzy set in MV -modules, we give a characterization of prime fuzzy A-ideals in MV -modules. Finally, we prove that the homomorphic image and preimage of prime fuzzy A-ideals are also prime fuzzy A-ideals in MV -modules. 2010 AMS Classification: 03B50, 06D35, 08A72.
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