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Ring Theory
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This wikibook covers ring theory.
Contents
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The category of rings
Ring extensions
Table of contents
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Introduction
Rings
Properties of rings
Integral domains and Fields
Subrings
Idempotent and Nilpotent elements
Characteristic of a ring
Ideals in a ring
Simple ring
Homomorphisms
Homomorphisms of rings
Theorems on homomorphisms
Quotient rings
Imbedding of rings
Maximal and Prime Ideals
Divisibility in rings
Some special domains
Principal Ideal Domains
Euclidean domains
Polynomial rings
Unique Factorization domain
Primitive and irreducible polynomials
R(x) as a UFD
Extension fields
Extension fields
Field adjunctions
Algebraic elements and algebraic extensions
Roots of polynomials
Constructions by ruler and compass
Resources
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http://www.polya.uklinux.net/rings.pdf