Bounds for numbers of generators for a class of submodules of a finitely generated module
| dc.creator | Sharif, Tirdad | |
| dc.creator | Yassemi, Siamak | |
| dc.date | 2002-10-01 | |
| dc.date.accessioned | 2026-07-07T04:51:23Z | |
| dc.date.available | 2026-07-07T04:51:23Z | |
| dc.description | The aim of this paper is to obtain a uniform bound for a certain class of submodules from the following theorem: Let $(R,\frak m)$ be a local ring, let $M$ be a finite $R$--module of dimension $d\ge 1$ and let $\frak q$ be an ideal of $R$ generated by a system of parameters on $M$. Let $N$ be a submodule of $M$ with $\depth M/N\ge d-1$. Then $\ell(N/\frak qN)\le\ell(M/\frak qM)$. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210002 | |
| dc.identifier | http://arxiv.org/abs/math/0210002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65128 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C99; 13E15; 13H10 | |
| dc.title | Bounds for numbers of generators for a class of submodules of a finitely generated module | |
| dc.type | text |