On the isotropy group of a simple derivation

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorBertoncello, L. N.-
Autor(es): dc.creatorLevcovitz, D.-
Data de aceite: dc.date.accessioned2026-02-09T11:59:11Z-
Data de disponibilização: dc.date.available2026-02-09T11:59:11Z-
Data de envio: dc.date.issued2020-05-04-
Data de envio: dc.date.issued2020-05-04-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/40539-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S0022404919301033-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1151845-
Descrição: dc.descriptionLet R=K[X1,…,Xn] be a polynomial ring in n variables over a field K of characteristic zero and d a K-derivation of R. Consider the isotropy group of d: Aut(R)d:={ρ∈AutK(R)|ρdρ−1=d}. In his doctoral thesis ([1]), Baltazar proved that if d is a simple Shamsuddin derivation of K[X1,X2], then its isotropy group is trivial. He also gave an example of a non-simple derivation whose isotropy group is infinite. Recently, Mendes and Pan ([13]) generalized this result to certain derivations of K[X1,X2] proving that, under certain hypothesis, a derivation of K[X1,X2] is simple if, and only if, its isotropy group is trivial. In this paper, we prove that the isotropy group of a simple Shamsuddin derivation of the polynomial ring R=K[X1,…,Xn] is trivial. We also calculate other isotropy groups of (not necessarily simple) derivations of K[X1,X2].-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Direitos: dc.rightsrestrictAccess-
???dc.source???: dc.sourceJournal of Pure and Applied Algebra-
Palavras-chave: dc.subjectDifferential ideal-
Palavras-chave: dc.subjectDifferential simplicity-
Título: dc.titleOn the isotropy group of a simple derivation-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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