JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (8): 48-56.doi: 10.6040/j.issn.1671-9352.0.2022.558

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Gorenstein AC-representations of linear quivers

Qing SUN(),Gang YANG*()   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Received:2022-10-31 Online:2023-08-20 Published:2023-07-28
  • Contact: Gang YANG E-mail:18265891818@163.com;yanggang@mail.lzjtu.cn

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Abstract:

Let Rep(Q, R) be the category of representations of R-modules over the linear quiver $ Q=(\bullet \rightarrow \bullet \rightarrow \cdots \rightarrow \bullet)$. It is mainly studied and characterized Gorenstein AC-injective representations and Gorenstein AC-flat representations in Rep(Q, R) in the paper.

Key words: quiver representations, Gorenstein AC-injective representations, Gorenstein AC-flat representations

CLC Number: 

  • O154.2
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