11 citations · 48 across the 18 of their papers we have counts for
4 papers · 1 filter
PBW deformations of Koszul algebras over a nonsemisimple ring
Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang
Let be a generalized Koszul algebra over a finite dimensional algebra . We construct a bimodule Koszul resolution of when the projective dimension of equals 2. Usi…
Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras
Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang
Let be a Koszul Artin-Schelter regular algebra with Nakayama automorphism . We show that the Yoneda Ext-algebra of the skew polynomial algebra is a trivial extensio…
Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras
Jiwei He, Fred Van Oystaeyen, Yinhuo Zhang
We study a class of graded algebras obtained from Ore extensions of graded Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded Calabi-Yau and graded coh…
Deformations of Koszul Artin-Schelter Gorenstein algebras
Ji-Wei He, Fred van Oystaeyen, Yinhuo Zhang
We compute the Nakayama automorphism of a PBW-deformation of a Koszul Artin-Schelter Gorenstein algebra of finite global dimension, and give a criterion for an augmented PBW-deform…