8 papers
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…
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…
Structure of modules stably annihilated by a fixed ideal
Yuki Mifune
Let be a commutative noetherian ring, and denote by the category of finitely generated -modules. In this paper, for an ideal of , we introduce…
A characterization of Cohen-Macaulay rings in terms of levels of perfect complexes
Naoya Hiramatsu, Yuki Mifune, Ryo Takahashi
Let be a commutative noetherian ring, and let be a semidualizing -module. In this paper, we study levels of bounded complexes of finitely generated -modules with resp…
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…
Upper bounds for dimensions of singularity categories and their annihilators
Souvik Dey, Yuki Mifune
Let be a commutative noetherian ring. Denote by the category of finitely generated -modules and by the bounded derived categor…