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Algunas algebras de Bernstein
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Sea (A, ?) una álgebra ponderada sobre un cuerpo K con caract (K) ? 2. Se dice que A es una K-álgebra de Bernstein si la identidad ( x2 ) 2 = ? 2 (x)x2 es válida en A. Es sabido que con respecto a un idempotente no nulo e, A se puede descomponer en una suma directa de subespacios A = K e ? U ? V. En este trabajo se encuentran subespacios de A cuya dimensión no dependen de la elección del idempotente no nulo e, lo cual permite construir álgebras de Bernstein no isomorfas de dimensión n + 1.
Universidad Catolica del Norte - Chile
Title: Algunas algebras de Bernstein
Description:
Sea (A, ?) una álgebra ponderada sobre un cuerpo K con caract (K) ? 2.
Se dice que A es una K-álgebra de Bernstein si la identidad ( x2 ) 2 = ? 2 (x)x2 es válida en A.
Es sabido que con respecto a un idempotente no nulo e, A se puede descomponer en una suma directa de subespacios A = K e ? U ? V.
En este trabajo se encuentran subespacios de A cuya dimensión no dependen de la elección del idempotente no nulo e, lo cual permite construir álgebras de Bernstein no isomorfas de dimensión n + 1.
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