Some ring theoretical properties of skew Poincaré-Birkhoff-Witt extensions

In this paper we investigate a notion of Armendariz ring for skew Poincaré-Birkhoff-Witt extensions. We proceed with the study on the relationship between the ring theoretical properties of being Baer, quasi-Baer, p.p. and p.q.-Baer of a ring R and a skew PBW extension A over R.

Detalhes bibliográficos
Autores: Niño, Arturo, Reyes, Armando
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2017
País:Colombia
Recursos:Universidad Nacional de Colombia
Repositório:Repositorio UN
Idioma:espanhol
OAI Identifier:oai:repositorio.unal.edu.co:unal/68368
Acesso em linha:https://repositorio.unal.edu.co/handle/unal/68368
http://bdigital.unal.edu.co/69401/
Access Level:Acceso aberto
Palavra-chave:51 Matemáticas / Mathematics
Armendariz
Baer
quasi-Baer
p.p and p.q.-Baer rings
skew Poincaré-Birkhoff-Witt extensions.
anillos de Baer
p.p y p.q.-Baer
extensiones torcidas de Poincaré-Birkhoff-Witt
Descrição
Resumo:In this paper we investigate a notion of Armendariz ring for skew Poincaré-Birkhoff-Witt extensions. We proceed with the study on the relationship between the ring theoretical properties of being Baer, quasi-Baer, p.p. and p.q.-Baer of a ring R and a skew PBW extension A over R.