2 papers
math.AC2026
Localized Persistent Commutative Algebra
Kaiyue He, Faisal Suwayyid, Guo-Wei Wei
We develop a localized persistent theory of commutative algebra for Stanley-Reisner rings, based on local cohomology supported at a coordinate prime rather than at the maximal idea…
math.AC2025
Betti Numbers for Modules Over Artinian Local Rings
Kaiyue He
We introduce a new numerical invariant associated to a finite-length -module and an ideal in an Artinian local ring . This invariant measures the ratio betwe…