Koszulity for graded skew PBW extensions. Issue 10 (3rd October 2017)

• Record Type: Journal Article
• Authors: Suárez, Héctor
• Is Part Of: Communications in algebra. Volume 45:Issue 10(2017)
• Page Start: 4569
• Page End: 4580
• Publication Date: 2017-10-03
• Subjects: Graded skew PBW extensions -- Koszul algebras -- PBW algebras; 16S37 -- 16W50 -- 16W70 -- 16S36 -- 13N10; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2016.1272694
• Languages: English
• ISSNs: 0092-7872

Abstract

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 if R is a finite presented Koszul 𝕂 -algebra then every graded skew PBW extension of R is Koszul.