| ID | 33917 |
| FullText URL | |
| Author |
Araya, Tokuji
Takahashi, Ryo
|
| 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).
|
| Published Date | 2004-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume46
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 17
|
| End Page | 30
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol46/iss1/25
|
| JaLCDOI |
