Abstract
Abstract An attempt is made to formulate fuzzy versions of Jacobson and prime radicals of a ring. Certain basic results pertaining to the notions of Jacobson and prime radicals of a ring are extended to the fuzzy setting. In particular the following is obtained: the Jacobson radical (prime radical) of the ring of fuzzy cosets of μ in R is zero, where R is a commutative ring with identity and μ is the fuzzy Jacobson radical (fuzzy prime radical) of R.
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