abstract
- © 2018, © 2018 Taylor & Francis. 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 every hereditary torsion theory in the Gabriel filtration is perfect. As corollary, we get that Boyle¿s conjecture is true for left QI-rings which satisfy the restricted left socle condition, a result proved by Faith in [6].