Ratliff-Rush Filtration, regularity and depth of Higher Associated graded modules: Part II
| dc.creator | Puthenpurakal, Tony J. | |
| dc.date | 2008-08-24 | |
| dc.date.accessioned | 2026-07-07T09:58:11Z | |
| dc.date.available | 2026-07-07T09:58:11Z | |
| dc.description | Let $(A,\m)$ be a Noetherian local ring, let $M$ be a finitely generated \CM $A$-module of dimension $r \geq 2$ and let $I$ be an ideal of definition for $M$. Set $L^I(M) = \bigoplus_{n\geq 0}M/I^{n+1}M$. In part one of this paper we showed that $L^I(M)$ is a module over $\R$, the Rees algebra of $I$ and we gave many applications of $L^I(M)$ to study the associated graded module, $G_I(M)$. In this paper we give many further applications of our technique; most notable is a reformulation of a classical result due to Narita in terms of the Ratliff-Rush filtration. This reformulation can be extended to all dimensions $\geq 2$. | |
| dc.description | Part-1 of this paper is math.AC/0411324 | |
| dc.identifier | https://arxiv.org/abs/0808.3258 | |
| dc.identifier | http://arxiv.org/abs/0808.3258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167626 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A30, 13D40, 13D45 | |
| dc.title | Ratliff-Rush Filtration, regularity and depth of Higher Associated graded modules: Part II | |
| dc.type | text |