Homological invariants associated to semi-dualizing bimodules
Commutative Algebra
2007-05-23 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.math/0505466,
title = {Homological invariants associated to semi-dualizing bimodules},
author = {Tokuji Araya and Ryo Takahashi and Yuji Yoshino},
journal= {arXiv preprint arXiv:math/0505466},
year = {2007}
}
Comments
19 pages, to appear in J. Math. Kyoto Univ