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Paper IPM / M / 16533  


Abstract:  
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 ( mod_{0} X, mod X, mod A) , where
mod_{0}  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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