Minimal Generators for Symmetric Ideals
| dc.creator | Hillar, Christopher J. | |
| dc.creator | Windfeldt, Troels | |
| dc.date | 2006-07-31 | |
| dc.date | 2006-09-27 | |
| dc.date.accessioned | 2026-07-07T07:21:13Z | |
| dc.date.available | 2026-07-07T07:21:13Z | |
| dc.description | Let $K$ be a field, and let $R = K[X]$ be the polynomial ring in an infinite collection $X$ of indeterminates over $K$. Let ${\mathfrak S}_{X}$ be the symmetric group of $X$. The group ${\mathfrak S}_{X}$ acts naturally on $R$, and this in turn gives $R$ the structure of a left module over the (left) group ring $R[{\mathfrak S}_{X}]$. A recent theorem of Aschenbrenner and Hillar states that the module $R$ is Noetherian. We prove that submodules of $R$ can have any number of minimal generators. | |
| dc.description | 2 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0608003 | |
| dc.identifier | http://arxiv.org/abs/math/0608003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115227 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 13E05, 13E15, 20B30, 06A07 | |
| dc.title | Minimal Generators for Symmetric Ideals | |
| dc.type | text |