Filter-regular sequences and mixed multiplicities
| dc.creator | Manh, Nguyen Tien | |
| dc.creator | Viet, Duong Quoc | |
| dc.date | 2009-01-24 | |
| dc.date.accessioned | 2026-07-07T12:34:23Z | |
| dc.date.available | 2026-07-07T12:34:23Z | |
| dc.description | Let $S$ be a finitely generated standard multigraded algebra over an Artinian local ring $A$; $M$ a finitely generated multigraded $S$-module. This paper answers to the question when mixed multiplicities of $M$ are positive and characterizes them in terms of lengths of $A$-modules. As an application, we get results on mixed multiplicities of ideals (Proposition 4.4 and Theorem 4.5), and recover the results of Risler and Teissier [Te](see Remark 4.8), Trung and Verma [TV](see Remark 4.6). | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0901.3825 | |
| dc.identifier | http://arxiv.org/abs/0901.3825 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217413 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H15 | |
| dc.title | Filter-regular sequences and mixed multiplicities | |
| dc.type | text |