Wikibooks:Collections/Abstract Algebra

Abstract Algebra

 * Introduction
 * Sets
 * Equivalence relations and congruence classes
 * Functions
 * Binary Operations
 * Linear Algebra
 * Number Theory


 * Group Theory
 * Abstract Algebra/Definition of groups, very basic properties
 * Abstract Algebra/Groups and subgroups
 * Group
 * Subgroup
 * Cyclic groups
 * Permutation groups
 * Homomorphism
 * Normal subgroups and Quotient groups
 * Products and Free Groups
 * Group actions on sets
 * Abstract Algebra/Composition series
 * Abstract Algebra/Group Theory/The Sylow Theorems


 * Rings
 * Abstract Algebra/Rings, ideals, ring homomorphisms
 * Rings
 * Ring Homomorphisms
 * Abstract Algebra/The hierarchy of rings
 * Abstract Algebra/Polynomial rings, irreducibility
 * Ideals
 * Integral domains
 * Fraction Fields
 * Polynomial Rings


 * Fields
 * Fields
 * Splitting Fields and Algebraic Closues
 * Abstract Algebra/Algebraic field extensions


 * Vector Spaces
 * Vector Spaces


 * Modules
 * Modules
 * Hypercomplex numbers


 * Algebras
 * Algebras
 * Boolean algebra
 * Clifford Algebras
 * Quaternions


 * Further Abstract Algebra
 * Category theory
 * Lattice theory
 * Matroids


 * Authors
 * Abstract Algebra/Authors