On the left perpendicular category of the modules of finite projective dimension
Commutative Algebra
2011-04-25 v2 Rings and Algebras
Abstract
In this paper, we characterize several properties of commutative notherian local rings in terms of the left perpendicular category of the category of finitely generated modules of finite projective dimension. As an application we prove that a local ring is regular if (and only if) there exists a strong test module for projectivity having finite projective dimension. We also obtain corresponding results with respect to a semidualizing module.
Keywords
Cite
@article{arxiv.1008.3680,
title = {On the left perpendicular category of the modules of finite projective dimension},
author = {Tokuji Araya and Kei-ichiro Iima and Ryo Takahashi},
journal= {arXiv preprint arXiv:1008.3680},
year = {2011}
}
Comments
6 pages; minor changes; to appear in Comm. Algebra