On endomorphism rings of local cohomology
| dc.creator | Hellus, Michael | |
| dc.creator | Stueckrad, Juergen | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T07:50:26Z | |
| dc.date.available | 2026-07-07T07:50:26Z | |
| dc.description | Let R be a local complete ring. For an R-module M the canonical ring map R\to End_R(M) is in general neither injective nor surjective; we show that it is bijective for every local cohomology module M := H^h_I(R) if H^l_I(R) = 0 for every l\neq h(:= height(I)) (I an ideal of R); furthermore the same holds for the Matlis dual of such a module. As an application we prove new criteria for an ideal to be a set-theoretic complete intersection. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703148 | |
| dc.identifier | http://arxiv.org/abs/math/0703148 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125162 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 | |
| dc.title | On endomorphism rings of local cohomology | |
| dc.type | text |