On vanishing of certain Ext modules
| dc.creator | Goto, Shiro | |
| dc.creator | Hayasaka, Futoshi | |
| dc.creator | Takahashi, Ryo | |
| dc.date | 2007-01-06 | |
| dc.date | 2008-07-08 | |
| dc.date.accessioned | 2026-07-07T09:48:54Z | |
| dc.date.available | 2026-07-07T09:48:54Z | |
| dc.description | Let R be a Noetherian local ring with the maximal ideal m and dim R=1. In this paper, we shall prove that the module Ext^1_R(R/Q,R) does not vanish for every parameter ideal Q in R, if the embedding dimension v(R) of R is at most 4 and the ideal m^2 kills the 0th local cohomology module H_m^0(R). The assertion is no longer true unless v(R) \leq 4. Counterexamples are given. We shall also discuss the relation between our counterexamples and a problem on modules of finite G-dimension. | |
| dc.description | 15 pages, minor changes, to appear in Journal of the Mathematical Society of Japan | |
| dc.identifier | https://arxiv.org/abs/math/0701195 | |
| dc.identifier | http://arxiv.org/abs/math/0701195 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164385 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D07 (Primary) 13D05 (Secondary) | |
| dc.title | On vanishing of certain Ext modules | |
| dc.type | text |