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.
On bounds of homological dimensions in Nakayama algebras
On the index of certain Lie algebras
Special tilting modules for algebras with positive dominant dimension
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