JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 28-33.doi: 10.6040/j.issn.1671-9352.0.2021.727

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Gorenstein DG-injective complexes

YIN Jun-qi, YANG Gang   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
  • Online:2022-10-20 Published:2022-10-06

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Abstract: A notion of Gorenstein DG-injective complexes is introduced and some properties of these complexes are discussed. It is proven that a complex G is Gorenstein DG-injective if and only if Gn is Gorenstein injective in R-Mod for each n∈Z and the complex HomR(E,G) is exact whenever E is a DG-injective complex.

Key words: Gorenstein DG-injective complex, DG-injective complex, Injective complex, Gorenstein injective module

CLC Number: 

  • O153.3
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