A notion of compatibility for Armendariz and Baer properties over skew PBW extensions

Armando Reyes ^[1] ; Héctor Suárez ^[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: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 59, Nº. 1, 2018, págs. 157-178
Idioma: inglés
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Resumen
- In this paper we are interested in studying the properties of Armendariz, Baer, quasi-Baer, p.p. and p.q.-Baer over skew PBW extensions. Using a notion of compatibility, we generalize several propositions established for Ore extensions and present new results for several noncommutative rings which can not be expressed as Ore extensions (universal enveloping algebras, diffusion algebras, and others).