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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math.AC2025

Finiteness of homological dimensions of Ext modules

Kaito Kimura

Let $R$ be a commutative Noetherian local ring and let $M$ and $N$ be nonzero finitely generated $R$ -modules. In this paper, we investigate how the finiteness of the homological di…

math.AC2025

On the depth of tensor products over Cohen-Macaulay rings

Kaito Kimura, Justin Lyle, Andrew J. Soto-Levins

Inspired by classical work on the depth formula for tensor products of finitely generated $R$ -modules, we introduce two conditions which we call $(ldep)$ and $(\mathbf{rde…