3 papers
math.AC2017
Connectedness of the Balmer spectra of right bounded derived categories
Hiroki Matsui
By virtue of Balmer's celebrated theorem, the classification of thick tensor ideals of a tensor triangulated category $\T$ is equivalent to the topological structure of its Balmer…
math.AC2016
When are n-syzygy modules n-torsionfree?
Hiroki Matsui, Ryo Takahashi, Yoshinao Tsuchiya
Let R be a commutative noetherian ring. We consider the question of when n-syzygy modules over R are n-torsionfree in the sense of Auslander and Bridger. Our tools include Serre's…
math.AC2015
The structure of preenvelopes with respect to maximal Cohen-Macaulay modules
Hiroki Matsui
This paper studies the structure of special preenvelopes and envelopes with respect to maximal Cohen-Macaulay modules. We investigate the structure of them in terms of their kernel…