A Note on The Global Dimension of Shifted Orders

Abstract

We consider dominant dimension of an order over a Cohen-Macaulay ring in the category of centrally Cohen-Macaulay modules. There is a canonical tilting module in the case of positive dominant dimension and we give an upper bound on the global dimension of its endomorphism ring.

13 pages: in v2, the main theorem was fixed for a weaker result but without an assumption on the global dimension, a nontrivial example is added