April 5, 2019
4:45PM - 5:45PM
Cockins Hall 240
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2019-04-05 16:45:00
2019-04-05 17:45:00
Ring Theory Seminar - Mauricio Medina Bárcenas
Title: Boyle's conjecture and perfect localizations
Speaker: Mauricio Medina Bárcenas
Abstract: A ring R is called a 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.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-04-05 16:45:00
2019-04-05 17:45:00
Ring Theory Seminar - Mauricio Medina Bárcenas
Title: Boyle's conjecture and perfect localizations
Speaker: Mauricio Medina Bárcenas
Abstract: A ring R is called a 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.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Boyle's conjecture and perfect localizations
Speaker: Mauricio Medina Bárcenas
Abstract: A ring R is called a 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.
