JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 19-22, 30.doi: 10.6040/j.issn.1671-9352.0.2022.621

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Semi-Gorenstein-projective modules respect to a semidualizing module

Mengya YUAN(),Li LIANG*()   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Received:2022-11-28 Online:2024-04-20 Published:2024-04-12
  • Contact: Li LIANG E-mail:1831374647@qq.com;lliang@lzjtu.edu.cn

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Abstract:

Let SGC-Prj denote the class of all semi-Gorenstein-projective modules respect to a semidualizing module C, and let GC-Prj denote the class of all Gorenstein-projective modules respect to a semidualizing module C. Several equivalent conditions for C to be weak Gorenstein are given. In particular, an equivalent characterization such that M and M* are SGC-projective modules is obtained.

Key words: semidualizing module, semi-Gorenstein-projective module, Gorenstein projective module

CLC Number: 

  • O154.2
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