关键词: Fuzzy module category, exact sequence, fuzzy split, Hom functor, Tensor functor

Abstract:

After defining Hom(A, B) and A  B in the fuzzy modular category Fm, the sufficient conditions of the existence for exact Hom functors Hom(M, ), and Hom(, M), as well as exact Tensor functors M  and  M are given in this paper. Fi-nally the weak isomorphisms relations between Hom functors and Tensor functors are displayed.

Key words: Fuzzy module category, exact sequence, fuzzy split, Hom functor, Tensor functor