A Note on the injective dimension of local cohomology modules
| dc.creator | Hellus, Michael | |
| dc.date | 2007-03-05 | |
| dc.date.accessioned | 2026-07-07T07:50:14Z | |
| dc.date.available | 2026-07-07T07:50:14Z | |
| dc.description | For a noetherian ring R we call an R-module M cofinite if there exists an ideal I of R such that M is I-cofinite; we show that every cofinite module M satisfies dim_R(M)<=injdimR(M). As an application we study the question which local cohomology modules H^i_I(R) satisfy injdim_R(H^i_I(R)) = dim_R(H^i_I(R)). There are two situations where the answer is positive. On the other hand we present two counter-examples, the failure in these two examples coming from different reasons. | |
| dc.identifier | https://arxiv.org/abs/math/0703126 | |
| dc.identifier | http://arxiv.org/abs/math/0703126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125097 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45; 13C05 | |
| dc.title | A Note on the injective dimension of local cohomology modules | |
| dc.type | text |