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Another Gorenstein Analogue of Projective Complexes

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As we know,a complex P is projective if and only if P is exact with Zn(P)projective in R-Mod for each n∈ Z and any morphismf:P→C is null homotopic for any complex C.In this article,we study the notion of DG-Gorenstein projective com-plexes.We show that a complex G is DG-Gorenstein projective if and only if G is exact with Zn(G)Gorenstein projective in R-Mod for each n∈ Z and any morphism f:G→Q is null homo-topic whenever Q is a DG-projective complex.

Gorenstein projective moduleDG-projective complexDG-Gorenstein projective complex

LU Bo、LIU Yifu

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College of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,Gansu

Supported by the National Natural Science Foundation of ChinaFundamental Research Funds for the Central UniversitiesFunds for Talent Introduction of Northwest Minzu UniversityFirst-Rate Discipline of Northwest Minzu University

206106131920190054XBMUYJRC201406

2020

10.19823/j.cnki.1007-1202.2020.0064

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(6)
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