## MA 377 Rings and Modules

This is a web page for the third year course MA377 Rings and Modules.
This is a course in abstract algebra.

The main focus of this course will be the structure theory of
finite dimensional algebras. This course follows on from Algebra II
in the sense that that course gave you the definition of a ring and some
examples. There is also a sense in which this course follows on
from the courses on Vectors and Matrices. This course develops the
concepts introduced in these courses but does not depend on the proofs.

I have set up a
forum
for this course. Anyone can join. Please do so
and contribute.

Here are some links to Wikipedia pages. These pages give you the
definitions and some of the terminology but not much more.
There is also considerable repetition.
Definition
Ring theory
Homomorphisms
Glossary
Subrings
Algebras
Algebras
Algebras
Module
Ideals
Simple rings
Artinian rings
Division Ring
Artin-Wedderburn Theorem

You can also find some useful information
here.

These are the sections in the course.
### Basics

### Semi-simple modules

### Radical

### Projective modules

Example Sheet I
Example Sheet II
Example Sheet III
Example Sheet IV
Example Sheet V

Here are some past exam papers. Although they are from a different course
they were still set by me and should give you some idea of what to expect.
Exam paper 2002
Exam paper 2003
Exam paper 2004