Rings and Fields

John O'Connor/Edmund Robertson

CONTENTS

  1. Introduction
  2. Some historical background
  3. Definition and examples
  4. Integral domains and fields
  5. Subrings and ideals
  6. Division and Euclidean algorithms
  7. Ring homomorphisms and isomorphisms
  8. Factor rings and and the isomorphism theorems
  9. Finite fields
Exercises
Exercises 1
Exercises 2
Exercises 3
Exercises 4
Exercises 5
Solutions 1
Solutions 2
Solutions 3
Solutions 4
Solutions 5

JOC/EFR MT4517 November 2004

The URL of this page is:

School_of_Mathematics_and_Statistics
University_of_St_Andrews,_Scotland
http://www-groups.mcs.st-andrews.ac.uk/~john/MT4517/index.html