Sobre Algebras com Identidades Polinomiais
Geisa Gama
Sobre Algebras com Identidades Polinomiais
Geisa Gama
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Neste trabalho apresentamos definicoes e resultados preliminares sobre a teoria das algebras com identidades polinomiais, que teve inicio na decada de 30 do seculo XX. Alem disso, enunciamos e demonstramos o Teorema de Amitsur-Levitzki em caracteristica zero, que afirma que o polinomio standard de grau 2n e uma identidade polinomial para as algebras matriciais quadradas de ordem n. Por fim, apresentamos uma condicao para que o polinomio Pn(x) seja uma identidade polinomial para a algebra Ma, b(E).
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