Propiedad de Armendariz para las extensiones PBW torcidas y su anillo clásico de cocientes

• Reyes, Armando ^[1] ; Suárez, Héctor ^[2]
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
  2. [2] Universidad Pedagógica y Tecnológica de Colombia

     Universidad Pedagógica y Tecnológica de Colombia

     Colombia

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 34, Nº. 2, 2016 (Ejemplar dedicado a: Revista Integración), págs. 147-168
• Idioma: español
• DOI: 10.18273/revint.v34n2-2016004
• Títulos paralelos:
  • Armendariz property for skew PBW extensions and their classical ring of quotients
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Consideramos un primer acercamiento a la noción de anillo de Armendariz para una extensión torcida de Poincaré-Birkho-Witt (PBW), y su anillo clásico de cocientes. Como una aplicación inmediata de este tratamiento, estudiamos las propiedades de Baer, quasi-Baer, p.p. y p.q.-Baer para estas extensiones. De esta manera, generalizamos varios resultados de la literatura para extensiones de Ore y extensiones PBW torcidas.

  • English

    We consider a first approach to the notion of Armendariz ring for a skew Poincaré-Birkho-Witt (PBW for short) extension, and its lassi al ring of quotients. As an immediate application of this treatment, we study the properties Baer, quasi-Baer, p.p. and p.q.-Baer rings for these extensions. In this way, we generalize several results in the literature concerning Ore extensions and skew PBW extensions.

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