The General PBW Property
| dc.creator | Li, Huishi | |
| dc.date | 2006-09-06 | |
| dc.date.accessioned | 2026-07-07T07:24:34Z | |
| dc.date.available | 2026-07-07T07:24:34Z | |
| dc.description | For ungraded quotients of an arbitrary $\mathbb{Z}$-graded ring, we define the general PBW property, that covers the classical PBW property and the $N$-type PBW property studied via the $N$-Koszulity by several authors ([BG1], BG2], [FV]). In view of the noncommutative Gröbner basis theory, we conclude that every ungraded quotient of a path algebra (or a free algebra) has the general PBW property. We remark that an earlier result of Golod [Gol] concerning Gröbner bases can be used to give a homological characterization of the general PBW property in terms of Shafarevich complex. Examples of application are given. | |
| dc.description | 15 pages, Algebra Colloquium, in press | |
| dc.identifier | https://arxiv.org/abs/math/0609172 | |
| dc.identifier | http://arxiv.org/abs/math/0609172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116405 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W70; 16Z05 | |
| dc.title | The General PBW Property | |
| dc.type | text |