Local Homology and Local Cohomology
| dc.creator | Tang, Zhongming | |
| dc.date | 2004-11-20 | |
| dc.date.accessioned | 2026-07-07T05:14:32Z | |
| dc.date.available | 2026-07-07T05:14:32Z | |
| dc.description | Let $(R, {\frak m})$ be a local ring, $I$ a proper ideal of $R$ and $M$ a finitely generated $R$-module of dimension $d$. We discuss the local homology modules of $H^d_I(M)$. When $M$ is Cohen-Macaulay, it is proved that $H^d_{\frak m}(M)$ is co-Cohen-Macaulay of N.dimension $d$ and $H^{\underline{x}}_d(H^d_{\frak m}(M))\cong\hat{M}$ where $\underline{x}=(x_1,...,x_d)$ is a system of parameters for $M$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411450 | |
| dc.identifier | http://arxiv.org/abs/math/0411450 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73307 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C14; 13D45 | |
| dc.title | Local Homology and Local Cohomology | |
| dc.type | text |