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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…
math.AC2023
On a generalization of Ulrich modules and its applications
Ela Celikbas, Olgur Celikbas, Justin Lyle +2
We study a modified version of the classical Ulrich modules, which we call -Ulrich. Unlike the traditional setting, -Ulrich modules always exist. We prove that these modules…