Auslander's Formula for contravariantly finite subcategories
Abstract
A relative version of Auslander's formula with respect to a contravariantly finite subcategory will be given. Dual version will be treated. Several examples and applications will be provided. In particular, we show that under certain circumstances, if relative Auslander algebras of artin algebras and ' are Morita equivalent, then and ' are also Morita equivalent.
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