User:Phenden/Books/Abstract Algebra
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Algebra
[edit]Abstract Algebra
[edit]- Basic Concepts and Foundations
- Set (mathematics)
- Abstract algebra
- Magma (algebra)
- Group (mathematics)
- Ring (mathematics)
- Field (mathematics)
- Inner automorphism
- Automorphism
- Identity element
- Algebraic structure
- Abelian group
- Algebra over a field
- Integer
- Real number
- Vector space
- Binary operation
- Module (mathematics)
- Natural number
- Addition
- Multiplication
- Commutative property
- Associative property
- Rational number
- Division (mathematics)
- Fraction (mathematics)
- Subtraction
- Additive inverse
- Set theory
- Matrix (mathematics)
- Complex number
- Number
- Distributive property
- Polynomial
- 1
- Algebra
- Inverse element
- Multiplicative inverse
- Bijection
- If and only if
- Isomorphism
- Matrix multiplication
- Monoid
- Closure (mathematics)
- Operation (mathematics)
- Commutative ring
- Modular arithmetic
- Group theory
- Quaternion
- Exponentiation
- Subset
- Linear map
- Unit (ring theory)
- Binary relation
- Empty set
- Ordinal number
- Surjective function
- Cardinality
- Cardinal number
- Finite set
- Axiom of choice
- Hypercomplex number
- Galois group
- Symmetry
- Diophantine equation
- History of group theory
- Leonhard Euler
- Algebraic operation
- Fermat's little theorem
- Euler's theorem
- Carl Friedrich Gauss
- Cyclic group
- Binary quadratic form
- Leopold Kronecker
- Ideal class group
- Heinrich Martin Weber
- Cancellation property
- Permutation
- Joseph-Louis Lagrange
- Resolvent (Galois theory)
- Edward Waring
- Elementary symmetric polynomial
- Paolo Ruffini
- Permutation group
- Évariste Galois
- Augustin-Louis Cauchy
- Camille Jordan
- Arthur Cayley
- Natural science
- Axiomatic system
- Ring theory
- Ernst Steinitz
- David Hilbert
- Emil Artin
- Emmy Noether
- Ernst Kummer
- Richard Dedekind
- Ferdinand Georg Frobenius
- Issai Schur
- Representation theory
- Bartel Leendert van der Waerden
- L. E. J. Brouwer
- Triviality (mathematics)
- Quasigroup
- Semigroup
- Lie algebra
- Lattice (order)
- Boolean algebra (structure)
- Associative algebra
- Poincaré conjecture
- Fundamental group
- Algebraic number theory
- Andrew Wiles
- Fermat's Last Theorem
- Gauge theory
- Local symmetry
- Lie group
- Force carrier
- Boson
- List of abstract algebra topics
- Coding theory
- List of important publications in mathematics
- Zermelo–Fraenkel set theory
- Constructivism (mathematics)
- Arthur Moritz Schoenflies
- Cantor's paradise
- Power set
- Antinomy
- Paradox
- Ernst Zermelo
- Bertrand Russell
- William Henry Young
- Grace Chisholm Young
- The Principles of Mathematics
- Henri Lebesgue
- Real analysis
- Abraham Fraenkel
- Union (set theory)
- Intersection (set theory)
- Complement (set theory)
- Symmetric difference
- Cartesian product
- Von Neumann universe
- Cumulative hierarchy
- Transfinite induction
- Infimum and supremum
- Successor ordinal
- Russell's paradox
- Burali-Forti paradox
- Zermelo set theory
- Axiom schema of replacement
- Axiom schema of specification
- General set theory
- Peano axioms
- Kripke–Platek set theory
- Axiom of power set
- Class (set theory)
- Von Neumann–Bernays–Gödel set theory
- Morse–Kelley set theory
- Tarski–Grothendieck set theory
- Urelement
- New Foundations
- Constructive set theory
- Intuitionistic logic
- Classical logic
- Rough set
- Fuzzy set
- Atomic formula
- Graph (discrete mathematics)
- Manifold
- Equivalence relation
- Order theory
- Principia Mathematica
- First-order logic
- Second-order logic
- Equivalence class
- Infinite set
- Discrete mathematics
- Metamath
- Propositional calculus
- Infinitary combinatorics
- Combinatorics
- Ramsey's theorem
- Erdős–Rado theorem
- Descriptive set theory
- Real line
- Polish space
- Pointclass
- Borel hierarchy
- Projective hierarchy
- Wadge hierarchy
- Borel set
- Effective descriptive set theory
- Computability theory
- Hyperarithmetical theory
- Borel equivalence relation
- Invariant (mathematics)
- Lotfi A. Zadeh
- Inner model theory
- Constructible universe
- Continuum hypothesis
- Axiom of determinacy
- Large cardinal
- Inaccessible cardinal
- Measurable cardinal
- Determinacy
- Forcing (mathematics)
- Paul Cohen
- Model theory