Partial Skew Group Rings Over Polycyclic by Finite Groups

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Paula A.A.B. Carvalho (Autor) FCUP; Wagner Cortes (Autor) Outra; Miguel Ferrero (Autor) Outra

Revista

Título: Algebras and Representation Theory

Vol. 14 Nº 3

Páginas: 449-462

ISSN: 1386-923X

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 7 Citações

ISI Web of Science

Scopus - 10 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

CORDIS: Ciências Físicas > Matemática > Álgebra

Outras Informações

ID Authenticus: P-002-RAY

DOI: 10.1007/s10468-009-9197-7

Resumo (PT): In this paper we consider a partial action α of a polycyclic by finite group G on a ring R. We prove that if R is right noetherian, then the partial skew group ring R ⋆  α G is also right noetherian. Extending the methods of Passman in Passman (Trans Am Math Soc 301:737–759, 1987), we obtain a description of the prime spectrum of R ⋆  α G. The results obtained are applied to get bounds for the Krull dimension and the classical Krull dimension of R ⋆  α G.

Abstract (EN): In this paper we consider a partial action alpha of a polycyclic by finite group G on a ring R. We prove that if R is right noetherian, then the partial skew group ring R(*alpha) G is also right noetherian. Extending the methods of Passman in Passman (Trans Am Math Soc 301:737-759, 1987), we obtain a description of the prime spectrum of R R(*alpha) G. The results obtained are applied to get bounds for the Krull dimension and the classical Krull dimension of R (*alpha) G.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14