Showing math.RAShow all
2 papers · 1 filter
math.RA2026
Global obstruction property and its applications
Weiheng Xia
We introduce the global obstruction property (GOP) for Artin algebras: for every finitely generated module of infinite projective dimension, two distinct syzygies have a common non…
math.RA2026
The Auslander--Reiten conjecture for quantum complete intersections
Weiheng Xia
Let \(A\) be a finite-dimensional quantum complete intersection over an arbitrary field. We prove that a finite-dimensional left \(A\)-module \(M\) is projective whenever \(\Ext_A^…