Supporting degrees of multi-graded local cohomolgoy modules
| dc.creator | Brodmann, Markus P. | |
| dc.creator | Sharp, Rodney Y. | |
| dc.date | 2008-10-24 | |
| dc.date.accessioned | 2026-07-07T10:13:05Z | |
| dc.date.available | 2026-07-07T10:13:05Z | |
| dc.description | For a finitely generated graded module $M$ over a positively-graded commutative Noetherian ring $R$, the second author established in 1999 some restrictions, which can be formulated in terms of the Castelnuovo regularity of $M$ or the so-called $a^*$-invariant of $M$, on the supporting degrees of a graded-indecomposable graded-injective direct summand, with associated prime ideal containing the irrelevant ideal of $R$, of any term in the minimal graded-injective resolution of $M$. Earlier, in 1995, T. Marley had established connections between finitely graded local cohomology modules of $M$ and local behaviour of $M$ across $\Proj(R)$. The purpose of this paper is to present some multi-graded analogues of the above-mentioned work. | |
| dc.description | This is to appear in the Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/0810.4487 | |
| dc.identifier | http://arxiv.org/abs/0810.4487 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172401 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45, 13E05, 13A02 (Primary) ;13C15 (Secondary) | |
| dc.title | Supporting degrees of multi-graded local cohomolgoy modules | |
| dc.type | text |