Boyle's Conjecture and perfect localizations
Rings and Algebras
2016-11-16 v1
Abstract
In this article we study the behavior of left QI-rings under perfect localizations. We show that a perfect localization of a left QI-ring is a left QI-ring. We prove that Boyle's conjecture is true for left QI-rings with finite Gabriel dimension such that the hereditary torsion theory generated by semisimple modules is perfect. As corollary we get that Boyle's conjecture is true for left QI-rings which satisfy the restricted left socle condition, this result was proved first by C. Faith in \cite{faithhereditary}.
Cite
@article{arxiv.1611.04672,
title = {Boyle's Conjecture and perfect localizations},
author = {Jaime Castro Pérez and Mauricio Medina Bárcenas and José Ríos Montes and Angel Zaldívar},
journal= {arXiv preprint arXiv:1611.04672},
year = {2016}
}
Comments
14 pages, preliminary version