5 papers
Noncommutative resolutions of noncommutative isolated singularities
Haonan Li, Quanshui Wu
Noncommutative resolutions of AS-Gorenstein isolated singularities are investigated by Li--Shen--Wu. However, establishing their existence and constructing such resolutions are gen…
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…
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…
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…
Generalized Koszul Algebra and Koszul Duality
Haonan Li, Quanshui Wu
We define generalized Koszul modules and rings and develop a generalized Koszul theory for -graded rings with the degree zero part noetherian semiperfect. This theory s…