1 citations · 1 across the 8 of their papers we have counts for
11 papers
Krull--Gabriel dimension and Cohen-Macaulay representations
Naoya Hiramatsu, Yuji Yoshino
Let be a complete Cohen--Macaulay local ring and an -order. We study the Krull--Gabriel dimension of the functor category , wher…
Homological properties and finiteness of reducing invariants
Tokuji Araya, Naoya Hiramatsu, Ryo Takahashi
We study reducing invariants of modules related to certain homological properties. For modules of finite reducing projective dimension, we establish grade inequalities. We prove th…
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…
The spectrum of a category of maximal Cohen-Macaulay modules
Naoya Hiramatsu
We introduce an analog of the Ziegler spectrum for maximal Cohen-Macaulay modules over a complete Cohen-Macaulay local ring. We define a topology on the space of isomorphism classe…
Krull--Gabriel dimension of Cohen--Macaulay modules over hypersurfaces of countable Cohen--Macaulay representation type
Naoya Hiramatsu
We calculate the Krull--Gabriel dimension of the functor category of the (stable) category of maximal Cohen--Macaulay modules over hypersurfaces of countable Cohen--Macaulay repres…
Geometry of varieties for graded maximal Cohen--Macaulay modules
Naoya Hiramatsu
We study a variety for graded maximal Cohen--Macaulay modules, which was introduced by Dao and Shipman. The main result of this paper asserts that there are only a finite number of…