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Previous issue date: 2016-02-22 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / 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. / 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 2006
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufscar.br:ufscar/8692 |
| Date | 22 February 2016 |
| Creators | Riva, Evandro |
| Contributors | Talpo, Humberto Luiz |
| Publisher | Universidade Federal de São Carlos, Câmpus São Carlos, Programa de Pós-graduação em Matemática, UFSCar |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFSCAR, instname:Universidade Federal de São Carlos, instacron:UFSCAR |
| Rights | info:eu-repo/semantics/openAccess |
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