Identidades polinomiais Zn-graduadas da álgebra Mn(F)

Detalhes bibliográficos
Autor(a) principal: Riva, Evandro
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/8692
Resumo: In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of order n x n, with entries in a field F, This study will be divided into two stages: when the field F has characteristic zero and when the field F is infinite. These results were described by Vasilovsky [18] in 1999 and Azevedo [2] in 2006.
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spelling Riva, EvandroTalpo, Humberto Luizhttp://lattes.cnpq.br/1674689444257254http://lattes.cnpq.br/415717309975539999754c02-8bcd-4d71-9b0b-bd87f4279d0c2017-05-02T12:50:18Z2017-05-02T12:50:18Z2016-02-22RIVA, Evandro. Identidades polinomiais Zn-graduadas da álgebra Mn(F). 2016. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8692.https://repositorio.ufscar.br/handle/ufscar/8692In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of order n x n, with entries in a field F, This study will be divided into two stages: when the field F has characteristic zero and when the field F is infinite. These results were described by Vasilovsky [18] in 1999 and Azevedo [2] in 2006.Nesta dissertação estudaremos álgebras G-graduadas e identidades polinomiais G-graduadas, onde G é um grupo aditivo. Como resultado principal descreveremos uma base finita para as identidades polinomiais Zn-graduadas da álgebra das matrizes n x n, com entradas em um corpo F, Este estudo será subdividido em duas etapas: quando o corpo F for de característica zero e quando o corpo F for infinito. Estes resultados foram descritos por Vasilovsky [18] em 1999 e por Azevedo [2] em 2006Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)porUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Matemática - PPGMUFSCarIdentidades polinominaisG-graduaçãoIdentidades polinominais G-graduadasPolynominal identitiesG-gradedG-graded polynominal identitiesCIENCIAS EXATAS E DA TERRA::MATEMATICAIdentidades polinomiais Zn-graduadas da álgebra Mn(F)info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600d36b9ec5-6583-4a3a-a534-73d7ad1b9a2einfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissER.pdfDissER.pdfapplication/pdf752664https://repositorio.ufscar.br/bitstream/ufscar/8692/1/DissER.pdf521aece49e66912a8051885516ab0cd7MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/8692/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTDissER.pdf.txtDissER.pdf.txtExtracted texttext/plain82245https://repositorio.ufscar.br/bitstream/ufscar/8692/3/DissER.pdf.txt969bc1eb606099b1bd643335e4951254MD53THUMBNAILDissER.pdf.jpgDissER.pdf.jpgIM Thumbnailimage/jpeg5948https://repositorio.ufscar.br/bitstream/ufscar/8692/4/DissER.pdf.jpg0f662f513df6b700fa693e8cf28d86afMD54ufscar/86922023-09-18 18:31:23.607oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:23Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Identidades polinomiais Zn-graduadas da álgebra Mn(F)
title Identidades polinomiais Zn-graduadas da álgebra Mn(F)
spellingShingle Identidades polinomiais Zn-graduadas da álgebra Mn(F)
Riva, Evandro
Identidades polinominais
G-graduação
Identidades polinominais G-graduadas
Polynominal identities
G-graded
G-graded polynominal identities
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Identidades polinomiais Zn-graduadas da álgebra Mn(F)
title_full Identidades polinomiais Zn-graduadas da álgebra Mn(F)
title_fullStr Identidades polinomiais Zn-graduadas da álgebra Mn(F)
title_full_unstemmed Identidades polinomiais Zn-graduadas da álgebra Mn(F)
title_sort Identidades polinomiais Zn-graduadas da álgebra Mn(F)
author Riva, Evandro
author_facet Riva, Evandro
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/4157173099755399
dc.contributor.author.fl_str_mv Riva, Evandro
dc.contributor.advisor1.fl_str_mv Talpo, Humberto Luiz
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1674689444257254
dc.contributor.authorID.fl_str_mv 99754c02-8bcd-4d71-9b0b-bd87f4279d0c
contributor_str_mv Talpo, Humberto Luiz
dc.subject.por.fl_str_mv Identidades polinominais
G-graduação
Identidades polinominais G-graduadas
topic Identidades polinominais
G-graduação
Identidades polinominais G-graduadas
Polynominal identities
G-graded
G-graded polynominal identities
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Polynominal identities
G-graded
G-graded polynominal identities
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of order n x n, with entries in a field F, This study will be divided into two stages: when the field F has characteristic zero and when the field F is infinite. These results were described by Vasilovsky [18] in 1999 and Azevedo [2] in 2006.
publishDate 2016
dc.date.issued.fl_str_mv 2016-02-22
dc.date.accessioned.fl_str_mv 2017-05-02T12:50:18Z
dc.date.available.fl_str_mv 2017-05-02T12:50:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv RIVA, Evandro. Identidades polinomiais Zn-graduadas da álgebra Mn(F). 2016. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8692.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/8692
identifier_str_mv RIVA, Evandro. Identidades polinomiais Zn-graduadas da álgebra Mn(F). 2016. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8692.
url https://repositorio.ufscar.br/handle/ufscar/8692
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600
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Matemática - PPGM
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSCAR
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institution UFSCAR
reponame_str Repositório Institucional da UFSCAR
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