Zariski cancellation problem for skew PBW extensions
| dc.contributor.advisor | Lezama Serrano, José Oswaldo | spa |
| dc.contributor.author | Venegas Ramírez, Helbert Javier | spa |
| dc.contributor.researchgroup | Seminario de álgebra constructiva, SAC2 | spa |
| dc.date.accessioned | 2020-08-05T22:32:16Z | spa |
| dc.date.available | 2020-08-05T22:32:16Z | spa |
| dc.date.issued | 2020-06-19 | spa |
| dc.description.abstract | A special question for noncommutative algebras is Zariski cancellation problem. In this thesis we establish cancellation for some special classes of algebras such as skew PBW extensions, some Artin--Schelter regular algebras and universal enveloping algebras of dimension three. In addition, we provide general properties for cancellation and we present a noncommutative analogues of a cancellation theorem for algebras of Gelfand-Kirillov dimension one. | spa |
| dc.description.abstract | Una pregunta especial para álgebras no conmutativas es el problema de cancelación de Zariski. En esta tesis, establecemos cancelación para algunas clases especiales de álgebras como extensiones PBW torcidas, algunas álgebras Artin--Schelter regulares y álgebras envolvente universal de dimensión tres. Adicionalmente, proveemos propiedades generales para cancelación y presentamos un análogo no conmutativo del teorema de cancelación para álgebras de dimensión Gelfand-Kirillov uno. | spa |
| dc.description.additional | Research line Noncommutative Algebra. | spa |
| dc.description.additional | Línea de investigación: Álgebra no conmutativa | spa |
| dc.description.degreelevel | Doctorado | spa |
| dc.format.extent | 96 | spa |
| dc.format.mimetype | application/pdf | spa |
| dc.identifier.citation | H. Venegas, Zariski cancellation problem, Ph.D Thesis, Universidad Nacional de Colombia, Bogotá (2020). | spa |
| dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/77946 | |
| dc.language.iso | eng | spa |
| dc.publisher.branch | Universidad Nacional de Colombia - Sede Bogotá | spa |
| dc.publisher.department | Departamento de Matemáticas | spa |
| dc.publisher.program | Bogotá - Ciencias - Doctorado en Ciencias - Matemáticas | spa |
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| dc.rights | Derechos reservados - Universidad Nacional de Colombia | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.license | Reconocimiento 4.0 Internacional | spa |
| dc.rights.spa | Acceso abierto | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | spa |
| dc.subject.ddc | 510 - Matemáticas | spa |
| dc.subject.proposal | cancellation | eng |
| dc.subject.proposal | cancelación | spa |
| dc.subject.proposal | retractable | spa |
| dc.subject.proposal | retractable | eng |
| dc.subject.proposal | detectable | eng |
| dc.subject.proposal | detectable | spa |
| dc.subject.proposal | morita cancelación | spa |
| dc.subject.proposal | morita cancellation | eng |
| dc.subject.proposal | locally nilpotent derivation | eng |
| dc.subject.proposal | derivación localmente nilpotente | spa |
| dc.subject.proposal | makar-Limanov invariant | eng |
| dc.subject.proposal | invariante de Makar-Limanov | spa |
| dc.subject.proposal | hopfian | eng |
| dc.subject.proposal | hopfian | spa |
| dc.subject.proposal | discriminante | spa |
| dc.subject.proposal | discriminant | eng |
| dc.subject.proposal | centro | spa |
| dc.subject.proposal | center | eng |
| dc.subject.proposal | extensiones PBW torcidas | spa |
| dc.subject.proposal | skew P BW extensions | eng |
| dc.subject.proposal | AS-regular algebras | eng |
| dc.subject.proposal | álgebras regulares de Artin--Schelter | spa |
| dc.title | Zariski cancellation problem for skew PBW extensions | spa |
| dc.title.alternative | Problema de cancelación de Zariski para extenciones P BW torcidas | spa |
| dc.type | Trabajo de grado - Doctorado | spa |
| dc.type.coar | http://purl.org/coar/resource_type/c_db06 | spa |
| dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | spa |
| dc.type.content | Text | spa |
| dc.type.driver | info:eu-repo/semantics/doctoralThesis | spa |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | spa |
| oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |