Extensões de Hopf-Ore e a décima conjectura de Kaplansky

dc.contributorFlôres, Daiana Aparecida da Silva
dc.contributorhttp://lattes.cnpq.br/8009247848619231
dc.contributorMorgado, Andrea
dc.contributorhttp://lattes.cnpq.br/8469234697525637
dc.contributorSant'Ana, Alveri Alves
dc.contributorhttp://lattes.cnpq.br/3221572278471780
dc.creatorGarcia, Christian Michel da Cunha
dc.date.accessioned2019-12-04T22:21:44Z
dc.date.accessioned2022-10-07T22:38:55Z
dc.date.available2019-12-04T22:21:44Z
dc.date.available2022-10-07T22:38:55Z
dc.date.created2019-12-04T22:21:44Z
dc.date.issued2019-06-28
dc.identifierhttp://repositorio.ufsm.br/handle/1/19102
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/4037876
dc.description.abstractIn this work we will treat, in particular, of the Hopf algebras and Hopf-Ore extensions. One of ours main goals is to prove a theorem that characterizes when a Hopf algebra R is a extension of Hopf-Ore of a Hopf algebra H. This theorem has been proved by A. N. Panov in (PANOV, 2003). Furthermore, we use iterated extensions of Hopf-Ore to build Hopf algebras pointed and co-Frobenius and with that give a negative answer to the tenth Kaplansky’s conjecture.
dc.publisherUniversidade Federal de Santa Maria
dc.publisherBrasil
dc.publisherMatemática
dc.publisherUFSM
dc.publisherPrograma de Pós-Graduação em Matemática
dc.publisherCentro de Ciências Naturais e Exatas
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectÁlgebras de Hopf
dc.subjectExtensões de Hopf-Ore
dc.subjectÁlgebras de Hopf pontuadas
dc.subjectHopf algebras
dc.subjectHopf-Ore extensions
dc.subjectPointed Hopf algebras
dc.titleExtensões de Hopf-Ore e a décima conjectura de Kaplansky
dc.typeDissertação


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