2 papers
math.AC2023
Generalized trace submodules and centers of endomorphism rings
Justin Lyle
Let be a commutative Noetherian local ring and a finitely generated -module. We introduce a general form of the classically studied trace map that unifies several notion…
math.AC2023
On the vanishing of Ext modules over a local unique factorization domain with an isolated singularity
Kaito Kimura, Justin Lyle, Yuya Otake +1
This paper provides a method to get a noetherian equicharacteristic local UFD with an isolated singularity from a given noetherian complete equicharacteristic local ring, preservin…