JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 2, Pages 181 - 203
(April 2017) http://dx.doi.org/10.17654/NT039020181 |
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KOSZULITY FOR SKEW PBW EXTENSIONS OVER FIELDS
Héctor Suárez and Armando Reyes
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Abstract: Koszul and homogeneous Koszul algebras were defined by Priddy in [18]. There exist some relations between these algebras and the skew PBW extensions introduced in [7]. 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. |
Keywords and phrases: skew PBW extensions, pre-Koszul algebras, Koszul algebras, PBW algebras, PBW deformations. |
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