Koszulity for skew PBW extensions over fields
Abstract
Koszul and homogeneous Koszul algebras were defined by Priddy in Priddy1970. There exist some relations between these algebras and the skew PBW extensions introduced in 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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