Local Homology, Cohen-Macaulayness and Cohen-Macaulayfications
| dc.creator | Hellus, Michael | |
| dc.date | 2005-07-07 | |
| dc.date.accessioned | 2026-07-07T05:21:29Z | |
| dc.date.available | 2026-07-07T05:21:29Z | |
| dc.description | Let (R,m) be a local, complete ring, X an artinian R-module of Noetherian dimension d; let x_1,...,x_d\in m be such that 0:_X (x_1,...,x_d)R has finite length. Then H^x_d(X) is a finite R-module, providing a positive answer to a question posed by Tang. As a first application of this result corollory 1 contains a necessary condition for a finite module to be CM; secondly we propose a notion of Cohen-Macaulayfication and prove its uniqueness (th. 3); finally we show that this new notion of Cohen-Macaulayfication is a direct generalization of a notion of Cohen-Macaulayfication introduced by Goto (th. 4). | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507137 | |
| dc.identifier | http://arxiv.org/abs/math/0507137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75705 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C14, 13D45 | |
| dc.title | Local Homology, Cohen-Macaulayness and Cohen-Macaulayfications | |
| dc.type | text |