Jacobson's conjecture and skew PBW
extensions

ARMANDO REYES^*

 Universidad Nacional de Colombia, Departamento de Matemáticas, Bogotá, Colombia.

Abstract. The aim of this paper is to compute the Jacobson's radical of skew PBW extensions over domains. As a consequence of this result we obtain a direct relation between these extensions and the Jacobson's conjecture, which implies that skew PBW extensions over domains satisfy this conjecture.

Keywords:Noncommutative rings, Jacobson's radical, skew PBW extensions.
MSC2010: 16N20, 16N40, 16W70, 16N60, 16S32, 16S36.

Conjetura de Jacobson y extensiones PBW torcidas

Palabras claves: Anillos no conmutativos, radical de Jacobson, extensiones PBW torcidas.

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^*E-mail: mareyesv@unal.edu.co.
Received: 17 April 2014, Accepted: 24 May 2014.
To cite this article: A. Reyes, Jacobson's conjecture and skew PBW extensions, Rev. Integr. Temas Mat.
32 (2014), no. 2, 139-152.