Prethick subcateogries of modules and characterizations of local rings
Commutative Algebra
2015-06-05 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1412.8047,
title = {Prethick subcateogries of modules and characterizations of local rings},
author = {Hiroki Matsui and Hayato Murata},
journal= {arXiv preprint arXiv:1412.8047},
year = {2015}
}
Comments
6 pages. To appear in Comm. Algebra