Approximations and adjoints for categories of complexes of Gorenstein projective modules

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:1
Approximations and adjoints for categories of complexes of Gorenstein projective modules

Approximations and adjoints for categories of complexes of Gorenstein projective modules

Authors : Gang YANG, Wei REN

Pages : 139-151

View : 51 | Download : 10

Publication Date : 2016-02-01

Article Type : Research Paper

Abstract :In the paper, it is proven that every object in Cinsert ignore into journalissuearticles values(R-GProj); has a special Cinsert ignore into journalissuearticles values(R-Proj);-preenvelope, and then some adjoints in homotopy categories related to Gorenstein projective modules are given, where Cinsert ignore into journalissuearticles values(R-Proj); is the subcategory of complexes of projective R-modules, and Cinsert ignore into journalissuearticles values(R-GProj); is the subcategory of complexes of Gorenstein projective R-modules.
Keywords : special, preenvelopes, Gorenstein projective modules, DG projective complexes, adjoints

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