Mifune Yuki

activity

20232026

collaborators

Showing 2025Show all

3 papers · 1 filter

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…