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Some remarks on Hom-modules and Hom-path algebras

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Abstract

This paper deals with injective and projective right Hom-H-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that HomModH is an Abelian category. Next, the authors define Hom-path algebras and construct Hom-path algebras of some quivers.

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Authors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

    Sujuan Zhang & Hailou Yao

  2. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Sujuan Zhang

Authors
  1. Sujuan Zhang
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  2. Hailou Yao
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Corresponding author

Correspondence to Sujuan Zhang.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11271119, 11201314) and the Natural Science Foundation of Beijing (No. 1122002).

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Zhang, S., Yao, H. Some remarks on Hom-modules and Hom-path algebras. Chin. Ann. Math. Ser. B 36, 213–224 (2015). https://doi.org/10.1007/s11401-015-0888-6

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  • DOI: https://doi.org/10.1007/s11401-015-0888-6

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