Álgebras e coálgebras

dc.contributorVieira, Larissa Hagedorn
dc.contributorVieira, Larissa Hagedorn
dc.contributorBoschi, Jessica
dc.contributorAraujo, Wilian Francisco de
dc.creatorCarvalho, Matheus Wallace Silva
dc.date.accessioned2020-11-19T13:20:00Z
dc.date.accessioned2022-12-06T14:28:06Z
dc.date.available2020-11-19T13:20:00Z
dc.date.available2022-12-06T14:28:06Z
dc.date.created2020-11-19T13:20:00Z
dc.date.issued2016-11-25
dc.identifierCARVALHO, Matheus Wallace Silva. Álgebras e coálgebras. 2016. 39 f. Trabalho de Conclusão de Curso (Graduação) – Universidade Tecnológica Federal do Paraná, Toledo, 2016.
dc.identifierhttp://repositorio.utfpr.edu.br/jspui/handle/1/15839
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5249647
dc.description.abstractThe present work aims to define and exemplify algebras and coalgebras, using the tensor product. Two important results are presented, the first one, the fact that if there is a finite dimensional algebra, then when one dualizes this algebra, one constructs a coalgebra. Furthermore, the second result states that, regardless of the coalgebra considered, if it is dualized, then it is an algebra. However, before presenting such results it is necessary to review some concepts of linear algebra, and define tensor product, which is fundamental to the construction of coalgebras.
dc.publisherUniversidade Tecnológica Federal do Paraná
dc.publisherToledo
dc.publisherBrasil
dc.publisherLicenciatura em Matemática
dc.publisherUTFPR
dc.rightsopenAccess
dc.subjectCálculo tensorial
dc.subjectÁlgebra linear
dc.subjectÁlgebra vetorial
dc.subjectCalculus of tensors
dc.subjectAlgebras, Linear
dc.subjectVector algebra
dc.titleÁlgebras e coálgebras
dc.typebachelorThesis


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