Koszulity for skew PBW extensions over fields
Rings and Algebras
2016-11-15 v1 Quantum Algebra
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.
Cite
@article{arxiv.1611.04483,
title = {Koszulity for skew PBW extensions over fields},
author = {Héctor Suárez and Armando Reyes},
journal= {arXiv preprint arXiv:1611.04483},
year = {2016}
}
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16 pages