JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 148-152.doi: 10.6040/j.issn.1671-9352.0.2023.549

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Characterizations of Gorenstein B-injective complexes

LI Qihui, YANG Gang*   

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

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Abstract: ( ~)/B denotes the class of all B -complexes, and B denotes a class of modules which contains all injective R-modules. It is proved that N is a Gorenstein( ~)/B -injective complex if and only if Ni is a Gorenstein B -injective module for each i∈Z and Hom(B,N)is exact for any B -complex B.

Key words: Gorenstein( ~)/B -injective complexes, Gorenstein( ~)/B -injective modules, complexes

CLC Number: 

  • O154.2
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