Maximality of noncommutative rings over orders

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dc.contributor.advisorReyes Villamil, Milton Armandospa
dc.contributor.authorRodríguez Rodríguez, Camilo Andrésspa
dc.date.accessioned2020-02-25T16:57:26Zspa
dc.date.available2020-02-25T16:57:26Zspa
dc.date.issued2019-07-31spa
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.spa
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.spa
dc.description.additionalMagister en Ciencias Matemáticasspa
dc.description.degreelevelMaestríaspa
dc.format.extent48spa
dc.format.mimetypeapplication/pdfspa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/75731
dc.language.isoengspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotáspa
dc.publisher.departmentDepartamento de Matemáticasspa
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Ingeniería y Ciencia, 15(29):157–177, 2019. 14spa
dc.rightsDerechos reservados - Universidad Nacional de Colombiaspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseAtribución-NoComercial 4.0 Internacionalspa
dc.rights.spaAcceso abiertospa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/spa
dc.subject.ddcMatemáticasspa
dc.subject.proposalOrdereng
dc.subject.proposalOrdenspa
dc.subject.proposalMaximal ordereng
dc.subject.proposalOrden maximalspa
dc.subject.proposalOre extensioneng
dc.subject.proposalExtensión de Orespa
dc.subject.proposalExtensión PBWspa
dc.subject.proposalPBW extensioneng
dc.subject.proposalSkew PBW extensioneng
dc.subject.proposalExtensión PBW torcidaspa
dc.subject.proposalOre-Rees ringeng
dc.subject.proposalAnillo de Ore-Reesspa
dc.titleMaximality of noncommutative rings over ordersspa
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa

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