Algebra II - MAT 632

Basic properties of rings will be discussed in this course such as: ideals and quotient rings, Ring Homeomorphisms, polynomial rings, left and right modules, free modules, direct sums of modules, finitely generated modules over a p.i.d, Artinian and Noetherian modules, completely reducible modules, Tensor product of modules, Bimodules, Algebras and coalgebras, projective and injective modules, primitive and semi-primitive rings, and the radical of a ring.
Prerequisite: MAT 621.