Prethick subcateogries of modules and characterizations of local rings
  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 recover the theorems of Salarian, Sather-Wagstaff and Yassemi. 
Hiroki Matsui, Hayato Murata
math.AC math.RT