Derived equivalences and Cohen-Macaulay Auslander algebras

Abstract

Let A and B be Artin R-algebras of finite Cohen-Macaulay type. Then we prove that, if A and B are standard derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived equivalent. And we show that Gorenstein projective conjecture is an invariant under standard derived equivalence between Artin R-algebras.

Keywords

Standard derived equivalence / Cohen-Macaulay Auslander algebra / Gorenstein projective conjecture

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Higher Education Press and Springer-Verlag Berlin Heidelberg