JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 54-58.doi: 10.6040/j.issn.1671-9352.0.2023.470

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Gorenstein homological objects in trivial extensions

QIN Xiaoyu, LIANG Li*   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Published:2025-11-11

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Abstract: By introducing the(co)compatibility of functors, we give the characterizations of Gorenstein homological objects in trivial extensions of abelian categories.

Key words: Gorenstein projective object, Gorenstein injective object, Abel category, trivial extension, (co)compatibility

CLC Number: 

  • O154.2
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