The Homological Theory of Contravariantly Finite Subcategories : Auslander-buchweitz Contexts , Gorenstein Categories and ( Co-) Stabilization

@inproceedings{Beligiannis2008TheHT,
  title={The Homological Theory of Contravariantly Finite Subcategories : Auslander-buchweitz Contexts , Gorenstein Categories and ( Co-) Stabilization},
  author={Apostolos Beligiannis},
  year={2008}
}
  • Apostolos Beligiannis
  • Published 2008
Let C be an abelian or exact category with enough projectives and let P be the full subcategory of projective objects of C . We consider the stable category C/P modulo projectives, as a left triangulated category [14], [36]. Then there is a triangulated category S(C/P) associated to C/P, which is universal in the following sense. There exists an exact functor S : C/P -t S(C/P) such that any exact functor out of C/P to a triangulated category has a unique exact factorization through S. The… CONTINUE READING
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