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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1994.tde-20210729-005539
Document
Author
Full name
Carlota Chieme Kuramochi
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1994
Supervisor
Title in Portuguese
Identidades polinomiais para as algebras de matrizes, algebras de jordan de grau 2 algebras de cayley-dickson
Keywords in Portuguese
Anéis E Álgebras Não Associativos
Abstract in Portuguese
Este trabalho resultou dos artigos minimal identities for algebras de a. S. Amitsur e j. Levitzki, minimal identities for jordan algebras of degree 2 e minimal identities of octonion algebras de m. L. Racine, que correspondem aos capitulos 2, 3 e 4, respectivamente. O resultado principal do segundo capitulo estabelece que as identidades minimais multilineares para a algebra das matrizes quadradas sao multiplos escalares do polinomio standard. No terceiro capitulo, determina-se uma base para o espaco das identidades minimais multilineares (que sao polinomios de jordan) para as algebras de jordan de grau 2. Finalmente, no ultimo capitulo, o resultado principal estabelece que as identidades minimais, que nao sao consequencias das leis alternativas, para as algebras de cayley-dickson sao consequencias dos polinomios 'CAPA' e 'ZETA'
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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