411 REFERENCE · Wikibooks
Ring Theory
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
This wikibook covers ring theory.
Contents
/The category of rings/
/Ring extensions/
Table of contents
/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
http://www.polya.uklinux.net/rings.pdf
Algebra University level mathematics books
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