This is the continuation of Math 551, aimed at a discussion of many fundamental algebraic structures. The course will cover the following topics:
* Galois Theory (course notes available)
* Basic module theory: hom and tensor, projective and injective modules, Wedderburn-Artin theorom
* Commutative ring theory: Artinian and Noetherian rings
* Group Representations, semisimple modules, characters
Abstract Algebra, Dummit and Foote
Any standard course in abstract algebra for undergraduates and/or Math 551. It will be assumed that students understand the concepts of groups, rings, modules, vector space and linear algebra, and finitely generated modules over principal ideal domains.