Comutadores e imagens de polinômios não comutativos
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2022 |
| Tipo de documento: | Dissertação |
| Idioma: | por |
| Título da fonte: | Repositório Institucional da UNIFESP |
| Texto Completo: | https://repositorio.unifesp.br/xmlui/handle/11600/63842 |
Resumo: | Neste trabalho de dissertação iremos abordar definições e resultados básicos sobre PI-álgebras e estudar as imagens de polinômios multilineares sobre a álgebra das matrizes. Apresentaremos resultados de Herstein que concentra seus estudos nas estruturas dos anéis de Jordan e Lie de anéis associativos. Também estudaremos alguns resultados de Brešar e Vitas sobre a relação entre o espaço linear gerado pelos comutadores em A, e espaço linear gerado pela imagem de f em A. E estabelecemos alguns resultados do tipo Waring para imagens de polinômios. |
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Santos, Pedro Henrique da Silva dos [Unifesp]http://lattes.cnpq.br/3628257284666625http://lattes.cnpq.br/7963957338675273Mello, Thiago Castilho de [Unifesp]2022-05-18T17:51:30Z2022-05-18T17:51:30Z2022-03-04https://repositorio.unifesp.br/xmlui/handle/11600/63842Neste trabalho de dissertação iremos abordar definições e resultados básicos sobre PI-álgebras e estudar as imagens de polinômios multilineares sobre a álgebra das matrizes. Apresentaremos resultados de Herstein que concentra seus estudos nas estruturas dos anéis de Jordan e Lie de anéis associativos. Também estudaremos alguns resultados de Brešar e Vitas sobre a relação entre o espaço linear gerado pelos comutadores em A, e espaço linear gerado pela imagem de f em A. E estabelecemos alguns resultados do tipo Waring para imagens de polinômios.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)119 f.porUniversidade Federal de São PauloImagens de polinômiosConjectura de Lvov-KaplanskyConjectura de MesyanComutadores e imagens de polinômios não comutativosCommutators and images of noncommutative polynomials.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESPInstituto de Ciência e Tecnologia (ICT)Matemática Pura e AplicadaMatemática puraÁlgebraORIGINALDissertacao_Pedro_Henrique.pdfDissertacao_Pedro_Henrique.pdfDissertação final para a obtenção do título de Mestre em Matemática Pura e Aplicada.application/pdf1651446${dspace.ui.url}/bitstream/11600/63842/1/Dissertacao_Pedro_Henrique.pdfb78bb766ea91ee564d362a0a7443bf8eMD51open accessLICENSElicense.txtlicense.txttext/plain; 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| dc.title.pt_BR.fl_str_mv |
Comutadores e imagens de polinômios não comutativos |
| dc.title.alternative.pt_BR.fl_str_mv |
Commutators and images of noncommutative polynomials. |
| title |
Comutadores e imagens de polinômios não comutativos |
| spellingShingle |
Comutadores e imagens de polinômios não comutativos Santos, Pedro Henrique da Silva dos [Unifesp] Imagens de polinômios Conjectura de Lvov-Kaplansky Conjectura de Mesyan |
| title_short |
Comutadores e imagens de polinômios não comutativos |
| title_full |
Comutadores e imagens de polinômios não comutativos |
| title_fullStr |
Comutadores e imagens de polinômios não comutativos |
| title_full_unstemmed |
Comutadores e imagens de polinômios não comutativos |
| title_sort |
Comutadores e imagens de polinômios não comutativos |
| author |
Santos, Pedro Henrique da Silva dos [Unifesp] |
| author_facet |
Santos, Pedro Henrique da Silva dos [Unifesp] |
| author_role |
author |
| dc.contributor.authorLattes.pt_BR.fl_str_mv |
http://lattes.cnpq.br/3628257284666625 |
| dc.contributor.advisorLattes.pt_BR.fl_str_mv |
http://lattes.cnpq.br/7963957338675273 |
| dc.contributor.author.fl_str_mv |
Santos, Pedro Henrique da Silva dos [Unifesp] |
| dc.contributor.advisor1.fl_str_mv |
Mello, Thiago Castilho de [Unifesp] |
| contributor_str_mv |
Mello, Thiago Castilho de [Unifesp] |
| dc.subject.por.fl_str_mv |
Imagens de polinômios Conjectura de Lvov-Kaplansky Conjectura de Mesyan |
| topic |
Imagens de polinômios Conjectura de Lvov-Kaplansky Conjectura de Mesyan |
| description |
Neste trabalho de dissertação iremos abordar definições e resultados básicos sobre PI-álgebras e estudar as imagens de polinômios multilineares sobre a álgebra das matrizes. Apresentaremos resultados de Herstein que concentra seus estudos nas estruturas dos anéis de Jordan e Lie de anéis associativos. Também estudaremos alguns resultados de Brešar e Vitas sobre a relação entre o espaço linear gerado pelos comutadores em A, e espaço linear gerado pela imagem de f em A. E estabelecemos alguns resultados do tipo Waring para imagens de polinômios. |
| publishDate |
2022 |
| dc.date.accessioned.fl_str_mv |
2022-05-18T17:51:30Z |
| dc.date.available.fl_str_mv |
2022-05-18T17:51:30Z |
| dc.date.issued.fl_str_mv |
2022-03-04 |
| 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.uri.fl_str_mv |
https://repositorio.unifesp.br/xmlui/handle/11600/63842 |
| url |
https://repositorio.unifesp.br/xmlui/handle/11600/63842 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
119 f. |
| dc.publisher.none.fl_str_mv |
Universidade Federal de São Paulo |
| publisher.none.fl_str_mv |
Universidade Federal de São Paulo |
| dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UNIFESP instname:Universidade Federal de São Paulo (UNIFESP) instacron:UNIFESP |
| instname_str |
Universidade Federal de São Paulo (UNIFESP) |
| instacron_str |
UNIFESP |
| institution |
UNIFESP |
| reponame_str |
Repositório Institucional da UNIFESP |
| collection |
Repositório Institucional da UNIFESP |
| bitstream.url.fl_str_mv |
${dspace.ui.url}/bitstream/11600/63842/1/Dissertacao_Pedro_Henrique.pdf ${dspace.ui.url}/bitstream/11600/63842/2/license.txt ${dspace.ui.url}/bitstream/11600/63842/6/Dissertacao_Pedro_Henrique.pdf.txt ${dspace.ui.url}/bitstream/11600/63842/8/Dissertacao_Pedro_Henrique.pdf.jpg |
| bitstream.checksum.fl_str_mv |
b78bb766ea91ee564d362a0a7443bf8e e906432dc8a0a2b7d413cb526f6c389c 2ca20b051971d3fb036101436e27460c 994a8fe8160467b2555a52ee93967410 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP) |
| repository.mail.fl_str_mv |
|
| _version_ |
1802764186483163136 |