- Hacettepe Journal of Mathematics and Statistics
- Vol: 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
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Publication Date : 2016-02-01
Article Type : Research
Abstract :In the paper, it is proven that every object in C(R-GProj) has a special C(R-Proj)-preenvelope, and then some adjoints in homotopy categories related to Gorenstein projective modules are given, where C(R-Proj) is the subcategory of complexes of projective R-modules, and C(R-GProj) is the subcategory of complexes of Gorenstein projective R-modules.Keywords : (special) preenvelopes, Gorenstein projective modules, DG-projective complexes, adjoints