4 papers · 1 filter
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…
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…