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Koszulity for graded skew PBW extensions.

Authors :
Suárez, Héctor
Source :
Communications in Algebra; 2017, Vol. 45 Issue 10, p4569-4580, 12p
Publication Year :
2017

Abstract

Pre-Koszul and Koszul algebras were defined by Priddy [15]. There exist some relations between these algebras and the skew PBW extensions defined in [8]. In [24] we gave conditions to guarantee that skew PBW extensions over fields it turns out homogeneous pre-Koszul or Koszul algebra. In this paper we complement these results defining graded skew PBW extensions and showing that ifRis a finite presented Koszul𝕂-algebra then every graded skew PBW extension ofRis Koszul. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
45
Issue :
10
Database :
Complementary Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
122715530
Full Text :
https://doi.org/10.1080/00927872.2016.1272694