On Periodic Modules

Salahattin Özdemir, Dokuz Eylül University.
Date: 27th of September, 4th and 11th of October, 2017, Wednesday. Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: We will prove the well-known result by Benson and Goodearl about flat modules over an arbitrary ring R: If a flat R-module M sits in a short exact sequence 0MPM0 with P projective, then M is projective. In other words, every flat periodic R-module M (of period 1) is projective. We will then talk about some of the recent generalizations of this result.