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Resultados conocidos sobre polinomios de permutación con coeficientes en un cuerpo finito se extienden a álgebras de la forma Lv=K[X]/(p(X)v)), donde K es un cuerpo finito, p(X) E K[X] un polinomio irreducible, v = 1,2..., y al álgebra de las series potenciales L[[Z]]. donde L = K[X] / (p(X)). Se estudian también análogos de polinomios de Dickson en este contexto.
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