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Homological invariants associated to semi-dualizing bimodules

Tokuji Araya·Ryo Takahashi·Yuji Yoshino
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Abstract

Cohen-Macaulay dimension for modules over a commutative noetherian local ring has been defined by A. A. Gerko. That is a homological invariant sharing many properties with projective dimension and Gorenstein dimension. The main purpose of this paper is to extend the notion of Cohen-Macaulay dimension for modules over commutative noetherian local rings to that for bounded complexes over non-commutative noetherian rings.

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Tokuji Araya, Ryo Takahashi, Yuji Yoshino. 2005-05-23. Homological invariants associated to semi-dualizing bimodules. https://arxiv.org/abs/math/0505466

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