Algebra learning seminar - Intro to Noncommutative Algebra

Billy Lee, Department of Pure Mathematics, University of Waterloo

“The Jacobson Density Theorem”

Following our classification of Semisimple Artinian Rings with Wedderburn’s Theorem, we now shift our focus towards primitive rings. The main goal of this week is to prove the Jacobson Density Theorem. With this theorem, we will be able to relate primitive rings with matrix rings.