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|Paper IPM / M / 16533||
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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