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In this paper, we apply intermediate extension functors associated
to certain recollements of functor categories to study relative Auslander
algebras. In particular, we study the existence of tilting-cotilting modules
over such algebras. Some applications will be provided. In particular, it
will be shown that two Gorenstein algebras of G-dimension one that are of
finite Cohen-Macaulay-type are Morita equivalent if and only if their Cohen-
Macaulay Auslander algebras are Morita equivalent.
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