Abstract
Cohen-Macaulay dimension for modules over a commutative 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.
Citation
Tokuji Araya. Ryo Takahashi. Yuji Yoshino. "Homological invariants associated to semi-dualizing bimodules." J. Math. Kyoto Univ. 45 (2) 287 - 306, 2005. https://doi.org/10.1215/kjm/1250281991
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