  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
$\Lambda$ and $\Lambda'$ are Morita equivalent, then $\Lambda$ and $\Lambda'$
are also Morita equivalent.

Representation Theory