On the computation of graded components of Laurent polynomial rings
| dc.creator | Rueda, Sonia L. | |
| dc.date | 2006-05-21 | |
| dc.date.accessioned | 2026-07-07T07:14:26Z | |
| dc.date.available | 2026-07-07T07:14:26Z | |
| dc.description | In this paper, we present several algorithms for dealing with graded components of Laurent polynomial rings. To be more precise, let $S$ be the Laurent polynomial ring $k[x_1,...,x_{r},x_{r+1}^{\pm 1},..., x_n^{\pm 1}]$, $k$ algebraicaly closed field of characteristic 0. We define the multigrading of $S$ by an arbitrary finitely generated abelian group $A$. We construct a set of fans compatible with the multigrading and use this fans to compute the graded components of $S$ using polytopes. We give an algorithm to check whether the graded components of $S$ are finite dimensional. Regardless of the dimension, we determine a finite set of generators of each graded component as a module over the component of homogeneous polynomials of degree 0. | |
| dc.identifier | https://arxiv.org/abs/math/0605567 | |
| dc.identifier | http://arxiv.org/abs/math/0605567 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112872 | |
| dc.subject | Commutative Algebra | |
| dc.title | On the computation of graded components of Laurent polynomial rings | |
| dc.type | text |