Submitted by Aelson Maciera (aelsoncm@terra.com.br) on 2017-04-25T19:04:21Z No. of bitstreams: 1 DissER.pdf: 752664 bytes, checksum: 521aece49e66912a8051885516ab0cd7 (MD5) / Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-05-02T12:46:36Z (GMT) No. of bitstreams: 1 DissER.pdf: 752664 bytes, checksum: 521aece49e66912a8051885516ab0cd7 (MD5) / Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2017-05-02T12:46:43Z (GMT) No. of bitstreams: 1 DissER.pdf: 752664 bytes, checksum: 521aece49e66912a8051885516ab0cd7 (MD5) / Made available in DSpace on 2017-05-02T12:50:18Z (GMT). No. of bitstreams: 1 DissER.pdf: 752664 bytes, checksum: 521aece49e66912a8051885516ab0cd7 (MD5) 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