摘要
As we know,a complex P is projective if and only if P is exact with Z_n(P)projective in R-Mod for each n∈Z and any morphism f:P→C is null homotopic for any complex C.In this article,we study the notion of DG-Gorenstein projective complexes.We show that a complex G is DG-Gorenstein projective if and only if G is exact with Z_n(G)Gorenstein projective in R-Mod for each n∈Z and any morphism f:G→Q is null homotopic whenever Q is a DG-projective complex.
基金
Supported by the National Natural Science Foundation of China(2061061)
Fundamental Research Funds for the Central Universities(31920190054)
Funds for Talent Introduction of Northwest Minzu University(XBMUYJRC201406)
First-Rate Discipline of Northwest Minzu University。
