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math.AC2023
On the Auslander-Bridger-Yoshino theory for complexes of finitely generated projective modules
Yuya Otake
Let R be a two-sided noetherian ring. Auslander and Bridger developed a theory of projective stabilization of the category of finitely generated R-modules, which is called the stab…
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
Ext modules related to syzygies of the residue field
Yuya Otake
Let R be a commutative noetherian ring. In this paper, we find out close relationships between the module M being embedded in a module of projective dimension at most n and the (n+…