Ring Theory

This wikibook covers ring theory.

Contents

 * /The category of rings/
 * 1) /Ring extensions/

Table of contents

 * /Introduction/


 * 1) */Rings/
 * 2) */Properties of rings/
 * 3) */Integral domains and Fields/
 * 4) */Subrings/
 * 5) */Idempotent and Nilpotent elements/
 * 6) */Characteristic of a ring/
 * 7) */Ideals in a ring/
 * 8) */Simple ring/
 * 9) /Homomorphisms/
 * 10) */Homomorphisms of rings/
 * 11) */Theorems on homomorphisms/
 * 12) */Quotient rings/
 * 13) */Imbedding of rings/
 * 14) */Maximal and Prime Ideals/
 * 15) */Divisibility in rings/
 * 16) /Some special domains/
 * 17) */Principal Ideal Domains/
 * 18) */Euclidean domains/
 * 19) */Polynomial rings/
 * 20) */Unique Factorization domain/
 * 21) */Primitive and irreducible polynomials/
 * 22) */R(x) as a UFD/
 * 23) /Extension fields/
 * 24) */Extension fields/
 * 25) */Field adjunctions/
 * 26) */Algebraic elements and algebraic extensions/
 * 27) */Roots of polynomials/
 * 28) */Constructions by ruler and compass/

Resources

 * http://www.polya.uklinux.net/rings.pdf

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