April 1, 2019 at 11:00 pm

Ring Theory Seminar | Boyle’s Conjecture and Perfect Localizations, April 5

The Ohio University-Ohio State University ring theory seminar series presents Mauricio Medina Bárcenas discussing “Boyle’s conjecture and perfect localizations” on Friday, April 5, at 4:45 p.m. in Cockins Hall 240, OSU-Columbus.

Medina is a Fubright Fellow at the University of Northern Illinois at Dekalb.

Abstract: A ring R is called left QI-ring if every quasi-injective left R-module is injective. Boyle’s conjecture states that every left QI-ring is left hereditary. In this talk, we will give an approach to this conjecture using torsion theories, in particular Gabriel dimension and perfect localizations. We will prove that for a left QI-ring R with finite Gabriel dimension, R is left hereditary iff every torsion theory in the Gabriel filtration of R is perfect.

Leave a Reply

Your email address will not be published. Required fields are marked *