Krull-Schmidt via the exchange property


Victor Blasco Jimenez, Dokuz Eylül University.
Date: 8th of March, 2022, Tuesday, Time: 10.00 – 12.00.
Place: Dokuz Eylül University, Tınaztepe Campus, Faculty of Science, Department of Mathematics, room B206 (department seminar and meeting room).
Abstract: We will define what is called the exchange property and study modules for which this property holds. Later we will see how it can be used to prove the Krull-Schmidt Theorem and related ones for various classes of modules.