Zariski cancellation problem for skew PBW extensions

dc.contributorLezama Serrano, José Oswaldo
dc.contributorSeminario de álgebra constructiva, SAC2
dc.creatorVenegas Ramírez, Helbert Javier
dc.date.accessioned2020-08-05T22:32:16Z
dc.date.available2020-08-05T22:32:16Z
dc.date.created2020-08-05T22:32:16Z
dc.date.issued2020-06-19
dc.identifierH. Venegas, Zariski cancellation problem, Ph.D Thesis, Universidad Nacional de Colombia, Bogotá (2020).
dc.identifierhttps://repositorio.unal.edu.co/handle/unal/77946
dc.description.abstractA 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.
dc.description.abstractUna 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.
dc.languageeng
dc.publisherBogotá - Ciencias - Doctorado en Ciencias - Matemáticas
dc.publisherDepartamento de Matemáticas
dc.publisherUniversidad Nacional de Colombia - Sede Bogotá
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dc.rightsDerechos reservados - Universidad Nacional de Colombia
dc.titleZariski cancellation problem for skew PBW extensions
dc.typeOtro


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