Hom functors and tensor product functors in fuzzy S-act category
In this paper, we construct the fuzzy S-act Hom S (? A ,? B ),where? A and ? B are two fuzzy S-acts. We also prove that Hom S (? p ,?) preserves short exact sequence if and only if \(\xi_P\cong \coprod\nolimits_{i\in i}0_{Se_i},\) where e i ?E(S). Moreover, we give the definition of tensor product of two fuzzy S-acts and get some properties of tensor product.
tensor product tensor product functor fuzzy s-act short exact sequence fuzzy set fuzzy projective s-act