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Hom functors and tensor product functors in fuzzy S-act category

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Abstract

In this paper, we construct the fuzzy S-act Hom S (μ A , ν B ), where μ A and ν B are two fuzzy S-acts. We also prove that Hom S (ξ 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.

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Acknowledgments

The author is very grateful to the referees for their valuable suggestions and comments, which are helpful to improve this paper.

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  1. School of Mathematics Science, Shandong Normal University, Jinan, 250014, People’s Republic of China

    Hongxing Liu

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  1. Hongxing Liu
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Correspondence to Hongxing Liu.

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Liu, H. Hom functors and tensor product functors in fuzzy S-act category. Neural Comput & Applic 21 (Suppl 1), 275–279 (2012). https://doi.org/10.1007/s00521-012-0811-y

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  • DOI: https://doi.org/10.1007/s00521-012-0811-y

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