5 papers
Noncommutative resolutions of AS-Gorenstein isolated singularites
Haonan Li, Menda Shen, Quanshui Wu
In this paper, we investigate noncommutative resolutions of (generalized) AS-Gorenstein isolated singularities. Noncommutative resolutions in graded case are achieved as the graded…
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…
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 (…
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…
Regular -graded local rings and Graded Isolated Singularities
Haonan Li, Quanshui Wu
In this note we first study regular -graded local rings. We characterize commutative noetherian regular -graded local rings in similar ways as in the usual…