Mifune Yuki

activity

20232026

collaborators

12 papers

math.AC2026

Ranks of Verdier quotients of derived categories over local rings

Souvik Dey, Yuki Mifune

Let $R$ be a commutative noetherian local ring with residue field $k$ . Denote by $D^{b} (R)$ the bounded derived category of finitely generated $R$ -modules. In…

math.AC2026

Contravariantly finite resolving subcategories over commutative local rings are trivial ones

Yuki Mifune, Gen Tanigawa

We show that a contravariantly finite resolving subcategory over a henselian local ring must be the subcategory of free modules or the whole module category or the subcategory of m…

math.AC2026

On strongly G-regular rings

Kaito Kimura, Yuki Mifune, Yuya Otake +1

A noetherian ring is called G-regular when all finitely generated Gorenstein projective modules are projective. In this paper, we study rings satisfying the stronger condition that…

math.AC2026

A lower bound for the Rouquier dimension of derived categories over commutative rings

Yuki Mifune

We prove that the Rouquier dimension of the bounded derived category of finitely generated modules over a commutative noetherian ring is bounded below by the Krull dimension of the…

math.AC2026

A characterization of Cohen-Macaulay rings in terms of levels of perfect complexes

Naoya Hiramatsu, Yuki Mifune, Ryo Takahashi

Let $R$ be a commutative noetherian ring, and let $C$ be a semidualizing $R$ -module. In this paper, we study levels of bounded complexes of finitely generated $R$ -modules with resp…

math.AC2025

Structure of modules stably annihilated by a fixed ideal

Yuki Mifune

Let $R$ be a commutative noetherian ring, and denote by $mod R$ the category of finitely generated $R$ -modules. In this paper, for an ideal $I$ of $R$ , we introduce…

math.AC2025

Criteria for finite injective dimension of modules over a local ring

Shinnosuke Kosaka, Yuki Mifune, Kenta Shimizu

Let $R$ be a commutative Noetherian local ring. We prove that the finiteness of the injective dimension of a finitely generated $R$ -module $C$ is determined by the existence of a C…

math.AC2025

Generation of singularity categories and infinite injective dimension locus via annihilation of cohomologies

Souvik Dey, Jian Liu, Yuki Mifune +1

Let R be a commutative Noetherian ring. We establish a close relationship between the strong generation of the singularity category of R and the nonvanishing of the annihilator of…

math.AC2024

Upper bounds for dimensions of singularity categories and their annihilators

Souvik Dey, Yuki Mifune

Let $R$ be a commutative noetherian ring. Denote by $mod R$ the category of finitely generated $R$ -modules and by $D^{b} (R)$ the bounded derived categor…

math.AC2024

A generalization of the dimension and radius of a subcategory of modules and its applications

Yuki Mifune

Let $R$ be a commutative noetherian local ring and denote by $mod R$ the category of finitely generated $R$ -modules. In this paper, we give some evaluations of the s…

math.AC2023

On a Verdier quotient of a derived category of a local ring

Yuki Mifune, Ryo Takahashi

Let $R$ be a commutative noetherian local ring with residue field $k$ . Denote by $D^{b} (R)$ the bounded derived category of finitely generated $R$ -modules. In this paper, we…

math.AC2023

On the finiteness of radii of resolving subcategories

Yuki Mifune

Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated R-modules. In this paper, we investigate the finiteness of the radii of resolving subcate…