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.