Valuation Extensions of Filtered and Graded Algebras
| dc.creator | Baetica, C. | |
| dc.creator | Van Oystaeyen, F. | |
| dc.date | 2005-09-23 | |
| dc.date.accessioned | 2026-07-07T06:20:09Z | |
| dc.date.available | 2026-07-07T06:20:09Z | |
| dc.description | In this note we relate the valuations of the algebras appearing in the non-commutative geometry of quantized algebras to properties of sub-lattices in some vector spaces. We consider the case of algebras with $PBW$-bases and prove that under some mild assumptions the valuations of the ground field extend to a non-commutative valuation. Later we introduce the notion of $F$-reductor and graded reductor and reduce the problem of finding an extending non-commutative valuation to finding a reductor in an associated graded ring having a domain for its reduction. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509542 | |
| dc.identifier | http://arxiv.org/abs/math/0509542 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95252 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16A08 | |
| dc.title | Valuation Extensions of Filtered and Graded Algebras | |
| dc.type | text |