Abstract
After defining Hom (χA,ηB) and χA⊗ηB in the fuzzy modular category Fm, the sufficient conditions of the existence for exact Hom functors Hom (δM, ), and Hom ( ,δM), as well as exact Tensor functors δM⊗ and ⊗δM are given in this paper. Finally the weak isomorphisms relations between Hom functors and Tensor functors are displayed.
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