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Maximality of noncommutative rings over orders

dc.rights.licenseAtribución-NoComercial 4.0 Internacional
dc.contributor.advisorReyes Villamil, Milton Armando
dc.contributor.authorRodríguez Rodríguez, Camilo Andrés
dc.date.accessioned2020-02-25T16:57:26Z
dc.date.available2020-02-25T16:57:26Z
dc.date.issued2019-07-31
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/75731
dc.description.abstractLa teoría de órdenes ha sido ampliamente estudiada desde la última parte del siglo XX. En el contexto no conmutativo, la maximalidad de órdenes ha sido revisada para objetos clásicos de tipo polinomial como las extensiones de Ore y las extensiones PBW, entre otras, y más recientemente para anillos de Ore-Rees. En este trabajo extendemos algunos resultados encontrados en la literatura a las extensiones PBW torcidas.
dc.description.abstractOrder theory has been widely studied since the last part of the 20th century. In the noncommutative context, maximality of orders has been reviewed for classical objects of polynomial type such as Ore extensions and PBW extensions, among others, and more recently for Ore-Rees rings. In this work we extend some results found in the literature to skew PBW extensions.
dc.format.extent48
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subject.ddcMatemáticas
dc.titleMaximality of noncommutative rings over orders
dc.typeOtro
dc.rights.spaAcceso abierto
dc.description.additionalMagister en Ciencias Matemáticas
dc.type.driverinfo:eu-repo/semantics/other
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dc.description.degreelevelMaestría
dc.publisher.departmentDepartamento de Matemáticas
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotá
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.subject.proposalOrder
dc.subject.proposalOrden
dc.subject.proposalMaximal order
dc.subject.proposalOrden maximal
dc.subject.proposalOre extension
dc.subject.proposalExtensión de Ore
dc.subject.proposalExtensión PBW
dc.subject.proposalPBW extension
dc.subject.proposalSkew PBW extension
dc.subject.proposalExtensión PBW torcida
dc.subject.proposalOre-Rees ring
dc.subject.proposalAnillo de Ore-Rees
dc.type.coarhttp://purl.org/coar/resource_type/c_1843
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.contentText
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2


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Atribución-NoComercial 4.0 InternacionalThis work is licensed under a Creative Commons Reconocimiento-NoComercial 4.0.This document has been deposited by the author (s) under the following certificate of deposit