3 papers
math.RA2026
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…
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.AC2025
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…