JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 25-31.doi: 10.6040/j.issn.1671-9352.0.2020.685

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A note on DG-Ding injective complexes

LIU Yi-fu, LU Bo*   

  1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2021-08-09

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Abstract: Let G be a complex. DG-Ding injective complex is defined and studied. It is proved that G is a DG-Ding injective complex if and only if G is exact with that each Zn(G)is a Ding injective module for any integer n and any homomorphism f:J→G is null homotopic for any DG-FP-injective complex J when R is a left coherent ring.

Key words: DG-Ding injective complex, Ding injective module, DG-FP-injective complex

CLC Number: 

  • O153.3
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