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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
Asymptotic behavior of homological invariants of localizations of modules
Kaito Kimura
Let be a commutative noetherian ring, an ideal of , and a finitely generated -module. We consider the asymptotic injective dimensions, projective dimensions, Bass…
math.AC2023★ 1 cited
Auslander--Reiten conjecture for normal rings
Kaito Kimura
In this paper, sufficient conditions for finitely generated modules over a commutative noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the m…