JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 109-114.doi: 10.6040/j.issn.1671-9352.0.2023.484

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Strongly Gorenstein projective modules over trivial ring extensions

HE Jianyuan, JIN Yuanhui, WANG Zhanping*   

  1. Department of Mathematics and Information, Shaoxing University, Shaoxing 312000, Zhejiang, China
  • Published:2025-11-11

Abstract: Let RM be a trivial ring extension, where R is a ring and M is an R-R-bimodule. We give sufficient and necessary conditions such that (X,α) is a strongly Gorenstein projective left RM-module.

Key words: trivial extension, strongly Gorenstein projective module, finite projective dimension

CLC Number: 

  • O153.3
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