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Koszulity for skew PBW extensions over fields

Published 11 Nov 2016 in math.RA and math.QA | (1611.04483v1)

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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Authors (2)

  1. Héctor Suárez 
  2. Armando Reyes 

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