Algebra learning seminar - Intro to Noncommutative Algebra

“Semisimple Rings”

Thus far we have discussed the radical of a noncommutative ring and some preliminary structure theory for semisimple rings. This week we give a complete classification, assuming the Artin-Wedderburn theorem, of semisimple artinian rings. But have no fear, the Artin- Wedderburn theorem will be proved within in the next few seminars. #directsumsofsimplerings #wellarentwefancy #hashtagsareback #hopefullypavlinadoesntturnthemintosharpsignsagain