Lecture Notes on Rings and Fields

This note
explains the following topics: Numbers, Definitions and first examples, Further axioms
for rings, Subrings, Ideals, Quotients of rings, Homomorphisms, Three
isomorphism theorems, Prime ideals, Maximal ideals, Divisors, Irreducibles
and prime, Euclidean rings, Greatest common divisors again, Some nasty
examples, The classification of finite field.

**Author(s):** J D Mitchell and V Maltcev

50 Pages