Brodmann, M; Kurmann, S; Rohrer, F (2007). An avoidance principle with an application to the asymptotic behaviour of graded local cohomology. Journal of Pure and Applied Algebra, 210(3):639-643.
We present an avoidance principle for certain graded rings. As an application we fill a gap in the proof of a result of Brodmann, Rohrer and Sazeedeh about the antipolynomiality of the Hilbert–Samuel multiplicity of the graded components of the local cohomology modules of a finitely generated module over a Noetherian homogeneous ring with two-dimensional local base ring.
We present an avoidance principle for certain graded rings. As an application we fill a gap in the proof of a result of Brodmann, Rohrer and Sazeedeh about the antipolynomiality of the Hilbert–Samuel multiplicity of the graded components of the local cohomology modules of a finitely generated module over a Noetherian homogeneous ring with two-dimensional local base ring.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | 2007 |
| Deposited On: | 09 Apr 2009 20:16 |
| Last Modified: | 26 Jun 2022 14:29 |
| Publisher: | Elsevier |
| ISSN: | 0022-4049 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.jpaa.2006.11.002 |
| Related URLs: | http://arxiv.org/abs/math/0611022 |
Brodmann, M