Kaito Kimura

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20212026

most citedAuslander--Reiten conjecture for normal rings

1 citations · 2 across the 12 of their papers we have counts for

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Showing 2024 · math.ACShow all

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math.AC2024

Stability of annihilators of cohomology and closed subsets defined by Jacobian ideals

Kaito Kimura

Let $R$ be a commutative Noetherian ring of dimension $d$ . In this paper, we first show that some power of the cohomology annihilator annihilates the $(d + 1)$ -th Ext modules for all…

math.AC2024

Compactness of the Alexandrov topology of maximal Cohen-Macaulay modules

Kaito Kimura

Let $R$ be a Cohen-Macaulay local ring. In this paper, we first describe the radicals of annihilators of stable categories of maximal Cohen-Macaulay $R$ -modules. We then prove that…