Locally nilpotent derivations of certain finitely generated k-algebras / Derivações localmente nilpotentes de certas k-algebras finitamente geradas

AUTOR(ES)

Marcelo Oliveira Veloso

DATA DE PUBLICAÇÃO

2009

RESUMO

This work is dedicated to the study of locally nilpotent derivations of certain finitely generated K-algebras, where K is a field of zero characteristic. These domains are generalizations of the well-known rings in the literature. One of this is the Fermat ring. More precisely, we characterize the set of locally nilpotent derivations of these domains or some subsets of this set. We also calculate the ML invariant of these domains and as a direct application of these results we find a set of generators for the group of automorphisms of some of these domains. We show that the Fermat ring is not always a rigid domain. Furthermore, we prove that Nakai s conjecture is true for the ring Fermat.

ASSUNTO(S)

automorphisms algebra diferencial automorfismo algebra comutativa differential algebra commutative algebra

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