Jacobson Density Theorem and Its Applications

Sinem Benli, İzmir Institute of Technology.
Date: 20th of September, 2017, Wednesday. Time: 09:30-12:00
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: Firstly, we introduce the notion of primitive rings. After giving some examples and mentioning the properties of this class of rings, we shall prove the famous Jacobson Density Theorem which gives the structure of the primitive rings. Finally, we give a different proof of the fundamental Wedderburn’s structure theorem that characterizes the finite dimensional simple algebras.
[1] Matej Brešar, Introduction to Noncommutative Algebra, Springer, 2014.
[2] Benson Farb & R. Keith Dennis, Noncommutative Algebra, Springer, 1991.