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Paper   IPM / M / 16533
School of Mathematics
  Title:   Auslander's formula for contravariantly finite subcategories
1.  Javad Asadollahi
2.  Rasool Hafezi
3.  Mohammad Hossein Keshavarz
  Status:   To Appear
  Journal: J. Math. Soc. Japan
  Supported by:  IPM
Let A be a right coherent ring and X be a contravariantly finite subcategory of mod- A containing projectives. In this paper, we construct a recollement of abelian categories ( mod0- X, mod- X, mod- A) , where mod0 - X is a full subcategory of mod- X consisting of all functors vanishing on projective modules. As a result, a relative version of Auslander's formula with respect to a contravariantly finite subcategory will be given. Moreover, some examples and applications will be provided.

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