English

A generalized Koszul property for skew PBW extensions

Algebraic Geometry 2018-04-23 v1 Rings and Algebras

Abstract

Let R be a commutative algebra. In this paper we show that constant skew PBW extensions of a generalized Koszul algebra R are also generalized Koszul. Let A be a semi-commutative skew PBW extension of R such that A is R-augmented. We show also that if R is augmented Koszul then A is R-augmented Koszul.

Cite

@article{arxiv.1804.06615,
  title  = {A generalized Koszul property for skew PBW extensions},
  author = {Héctor Suárez and Armando Reyes},
  journal= {arXiv preprint arXiv:1804.06615},
  year   = {2018}
}

Comments

14 pages

R2 v1 2026-06-23T01:27:21.174Z