Homological invariants associated to semi-dualizing bimodules

Tokuji Araya; Ryo Takahashi; Yuji Yoshino

doi:10.1215/kjm/1250281991

Homological invariants associated to semi-dualizing bimodules

Tokuji Araya, Ryo Takahashi, Yuji Yoshino

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

Cohen-Macaulay dimension for modules over a commutative ring lias been defined by A. A. Gcrko. That is a homological invariant sharing many properties with projective dimension and Gorcnstcin 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.

Original language	English
Pages (from-to)	287-306
Number of pages	20
Journal	Kyoto Journal of Mathematics
Volume	45
Issue number	2
DOIs	https://doi.org/10.1215/kjm/1250281991
Publication status	Published - 2005
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1215/kjm/1250281991

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title = "Homological invariants associated to semi-dualizing bimodules",

abstract = "Cohen-Macaulay dimension for modules over a commutative ring lias been defined by A. A. Gcrko. That is a homological invariant sharing many properties with projective dimension and Gorcnstcin 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.",

author = "Tokuji Araya and Ryo Takahashi and Yuji Yoshino",

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AU - Araya, Tokuji

AU - Takahashi, Ryo

AU - Yoshino, Yuji

PY - 2005

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AB - Cohen-Macaulay dimension for modules over a commutative ring lias been defined by A. A. Gcrko. That is a homological invariant sharing many properties with projective dimension and Gorcnstcin 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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DO - 10.1215/kjm/1250281991

M3 - Article

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JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

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ER -

Homological invariants associated to semi-dualizing bimodules

Abstract

ASJC Scopus subject areas

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