On connectedness and indecomposibility of local cohomology modules
| dc.creator | Schenzel, Peter | |
| dc.date | 2008-10-27 | |
| dc.date.accessioned | 2026-07-07T10:13:22Z | |
| dc.date.available | 2026-07-07T10:13:22Z | |
| dc.description | Let $I$ denote an ideal of a local Gorenstein ring $(R, \mathfrak m)$. Then we show that the local cohomology module $H^c_I(R), c = \height I,$ is indecomposable if and only if $V(I_d)$ is connected in codimension one. Here $I_d$ denotes the intersection of the highest dimensional primary components of $I.$ This is a partial extension of a result shown by Hochster and Huneke in the case $I$ the maximal ideal. Moreover there is an analysis of connectedness properties in relation to various aspects of local cohomology. Among others we show that the endomorphism ring of $H^c_I(R)$ is a local Noetherian ring if $\dim R/I = 1.$ | |
| dc.identifier | https://arxiv.org/abs/0810.4774 | |
| dc.identifier | http://arxiv.org/abs/0810.4774 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172505 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45; 13H10 | |
| dc.title | On connectedness and indecomposibility of local cohomology modules | |
| dc.type | text |