JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (2): 72-78.doi: 10.6040/j.issn.1671-9352.0.2022.201

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A note on DG-Gorenstein AC-injective complexes

WANG Xin, LU Bo*   

  1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2023-02-12

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Abstract: The notion of DG-Gorenstein AC-injective complexes is introduced and studied. It is proven that over any ring a complex G is DG-Gorenstein AC-injective if and only if G is exact with Zn(G)Gorenstein AC-injective in R-Mod for any integer n and any homomorphism f:A→G is null homotopic whenever A is a DG-FP∞-injective complex.

Key words: DG-Gorenstein AC-injective complex, Gorenstein AC-injective module, DG-FP∞-injective complex

CLC Number: 

  • O153.3
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