| dc.creator | Lezama Serrano, José Oswaldo | |
| dc.creator | Gallego Joya, Claudia Milena | |
| dc.date.accessioned | 2019-01-28T17:16:12Z | |
| dc.date.accessioned | 2022-10-14T22:22:53Z | |
| dc.date.available | 2019-01-28T17:16:12Z | |
| dc.date.available | 2022-10-14T22:22:53Z | |
| dc.date.created | 2019-01-28T17:16:12Z | |
| dc.date.issued | 2017-01 | |
| dc.identifier | Lezama Serrano, José Oswaldo; Gallego Joya, Claudia Milena; Projective modules and Gröbner bases for skew PBW extensions; Polish Academy of Sciences. Institute of Mathematics; Dissertationes Mathematicae; 521; 1-2017; 1-50 | |
| dc.identifier | 0012-3862 | |
| dc.identifier | http://hdl.handle.net/11336/68736 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4313516 | |
| dc.description.abstract | Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincare- Birkhoff Witt) extensions. In the present paper we study two aspects of these non-commutative rings: their finitely generated projective modules from a matrix-constructive approach, and the construction of the Gröbner theory for their left ideals and modules. These two topics have interesting applications in functional linear systems and in non-commutative geometry. | |
| dc.language | eng | |
| dc.publisher | Polish Academy of Sciences. Institute of Mathematics | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4064/dm747-4-2016 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.impan.pl/en/publishing-house/journals-and-series/dissertationes-mathematicae/all/521/0/92028/projective-modules-and-grobner-bases-for-skew-pbw-extensions | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/restrictedAccess | |
| dc.subject | BUCHBERGER’S ALGORITHM | |
| dc.subject | HERMITE RINGS | |
| dc.subject | MATRIX-CONSTRUCTIVE METHODS | |
| dc.subject | NON-COMMUTATIVE GRÖBNER BASES | |
| dc.subject | PROJECTIVE MODULES | |
| dc.subject | SKEW PBW EXTENSIONS | |
| dc.subject | STABLE RANK | |
| dc.subject | STABLY FREE MODULES | |
| dc.title | Projective modules and Gröbner bases for skew PBW extensions | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
