Ring and Module Theory 
Level 4

Autumn 2009

Course description
Here is the formal course description that is available on Moodle:

This one-semester course provides an introduction to PID's and module theory, with a view to the structure theorem for finitely generated modules over a PID. We then use the structure theorem to establish the Jordan normal form of a square matrix. Time permitting, we conclude with a look at Nakayama's lemma.

The class meets in room 417 of the Mathematics Building from 11am-12noon on Thursdays and Fridays, as well as every second Wednesday (even weeks). Examples classes take place on Fridays 9-10am in room 204.

Lecture notes and Homework assignments
The lecture notes, homework assignments and solutions can be downloaded from here:

Old exam papers
Here are a few old exam papers:
Some long proofs will not be examined in full
Several of the proofs in this course are rather long. In the exam you might be asked to produce some small part of a long proof (as in the sample exam), but you will not be asked to reproduce the entire proof of any of the following results: Lemma 2.19; Lemma 2.20; Theorem 5.2; Proposition 5.6; Theorem 5.8; Lemma 5.10; Theorem 6.20.
References
Other useful references for the course include:

Mathematics Department,
University of Glasgow, University Gardens,
Glasgow G12 8QW, Scotland.
Office: Mathematics Building, room 427
Phone: 632-4005
Email: craw at maths dot gla dot ac dot uk