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Cohen-Macaulay injective, projective, and flat dimension

Henrik Holm·Peter Jorgensen
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Abstract

We define three new homological dimensions - Cohen-Macaulay injective, projective, and flat dimension - which inhabit a theory similar to that of classical injective, projective, and flat dimension. Finiteness of the new dimensions characterizes Cohen-Macaulay rings with dualizing modules.

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Henrik Holm, Peter Jorgensen. 2004-05-27. Cohen-Macaulay injective, projective, and flat dimension. https://arxiv.org/abs/math/0405523

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