3 papers
math.RT2016
Classifying dense (co)resolving subcategories of exact categories via Grothendieck groups
Hiroki Matsui
Classification problems of subcategories have been deeply considered so far. In this paper, we discuss classifying dense (co)resolving subcategories of exact categories via their G…
math.AC2014
Maximal Cohen-Macaulay approximations and Serre's condition
Hiroki Matsui, Ryo Takahashi
This paper studies the relationship between Serre's condition and Auslander--Buchweitz's maximal Cohen--Macaulay approximations. It is proved that a Gorenstein local ring…
math.AC2014
Prethick subcateogries of modules and characterizations of local rings
Hiroki Matsui, Hayato Murata
This paper studies characterizing local rings in terms of homological dimensions. The key tool is the notion of a prethick subcategory which we introduce in this paper. Our methods…