ID | 33917 |
FullText URL | |
Author |
Araya, Tokuji
Takahashi, Ryo
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Abstract | In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension. This invariant is quite similar to Cohen-Macaulay dimension that has been introduced by Gerko. Also we define a homological invariant with respect to a local homomorphism of local rings. This invariant links upper Cohen-Macaulay dimension with Gorenstein dimension. |
Keywords | Gorenstein dimension (G-dimension)
Cohen-Macaulay dimension (CM-dimension).
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Published Date | 2004-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume46
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 17
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End Page | 30
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol46/iss1/25
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JaLCDOI |