Wikibooks:Collections/Abstract Algebra
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Abstract Algebra
[edit source]- 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