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arXiv · 1611.04483

Koszulity for skew PBW extensions over fields

Héctor Suárez·Armando Reyes
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Abstract

Koszul and homogeneous Koszul algebras were defined by Priddy in \cite{Priddy1970}. There exist some relations between these algebras and the skew PBW extensions introduced in \cite{LezamaGallego}. In this paper we give conditions to guarantee that skew PBW extensions over fields are Koszul or homogeneous Koszul. We also show that a constant skew PBW extension of a field is a PBW deformation of its homogeneous version.

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Héctor Suárez, Armando Reyes. 2016-11-11. Koszulity for skew PBW extensions over fields. https://arxiv.org/abs/1611.04483

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