Unital Grobner Bases over Arbitrary Ground Rings
| dc.creator | Leitner, Frederick | |
| dc.creator | Pawloski, Robert | |
| dc.date | 2004-09-28 | |
| dc.date | 2004-10-14 | |
| dc.date.accessioned | 2026-07-07T05:12:41Z | |
| dc.date.available | 2026-07-07T05:12:41Z | |
| dc.description | Let R be a commutative ring with unity and a let A be a not necessarily commutative R-algebra which is free as an R-module. If I is an ideal in A, one can ask when A/I is also free as an R-module. We show that if A has an admissible system and I has a unital Grobner basis then A/I is free as an R-module. We prove a version of Buchberger's theorem over R and, as a corollary, we obtain a Grobner basis proof of the Poincare-Birkhoff-Witt Theorem over a commutative ground ring. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409565 | |
| dc.identifier | http://arxiv.org/abs/math/0409565 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72664 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16Z05; 13P10 | |
| dc.title | Unital Grobner Bases over Arbitrary Ground Rings | |
| dc.type | text |