6 papers · 1 filter
Ranks of Verdier quotients of derived categories over local rings
Souvik Dey, Yuki Mifune
Let be a commutative noetherian local ring with residue field . Denote by the bounded derived category of finitely generated -modules. In…
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 category of free modules or the whole module category or the subcategory of maxi…
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…
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…
Criteria for finite injective dimension of modules over a local ring
Shinnosuke Kosaka, Yuki Mifune, Kenta Shimizu
Let be a commutative Noetherian local ring. We prove that the finiteness of the injective dimension of a finitely generated -module is determined by the existence of a C…