Homological invariants associated to semi-dualizing bimodules

Details Homological invariants associated to semi-dualizing bimodules Homological invariants associated to semi-dualizing bimodules

2005-05-23

arxiv.org/abs/math/0505466v1

Mathematics

Commutative Algebra

19 pages, to appear in J. Math. Kyoto Univ

Scientific paper

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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