3 papers
math.RA2025
Connected Hopf Algebras that are Not Hopf Ore Extensions of Enveloping Algebras
Mengying Hu, Quanshui Wu
We construct a family of connected Hopf algebras with finite Gelfand-Kirillov dimension, none of which is an iterated Hopf Ore extension of the universal enveloping algebra of its…
math.RA2025
Commonly Graded Algebras and Their Homological Properties
Haonan Li, Quanshui Wu
In this article, we study bounded-below locally finite -graded algebras, which are referred to as commonly graded algebras in literature. Commonly graded algebras have…
math.RA2025
Numerical homological regularities over positively graded algebras
Quanshui Wu, Bojuan Yi
We study numerical regularities for complexes over noncommutative noetherian locally finite -graded algebras such as CM (cm)-regularity, Tor (tor)-regularity (Ext (…