User:Zarzuelazen/Books/Reality Theory: Algebra&Number Theory

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Reality Theory: Algebra&Number Theory[edit]

0 (number)
1 (number)
2
3
Abc conjecture
Abelian extension
Abelian group
Absolute value
Absolute value (algebra)
Abstract algebra
Acyclic orientation
Addition
Additive function
Additive identity
Additive inverse
Additive number theory
Adele ring
Adjacency matrix
Adjugate matrix
Affine Lie algebra
Albert algebra
Algebra
Algebra over a field
Algebra representation
Algebraic equation
Algebraic expression
Algebraic extension
Algebraic function field
Algebraic graph theory
Algebraic group
Algebraic integer
Algebraic number
Algebraic number field
Algebraic number theory
Algebraic operation
Algebraic structure
Algebraically closed field
Almost prime
Amicable numbers
Anabelian geometry
Analytic number theory
Annihilator (ring theory)
Antihomomorphism
Antimatroid
Arborescence (graph theory)
Archimedean property
Arithmetic
Arithmetic function
Arithmetic group
Artin reciprocity law
Associated prime
Associative algebra
Augmented matrix
Automorphic form
Average order of an arithmetic function
Bareiss algorithm
Basis (linear algebra)
Bernoulli number
Bialgebra
Bijective proof
Bilinear form
Bilinear map
Bimodule
Binary matroid
Binary quadratic form
Binomial (polynomial)
Binomial coefficient
Binomial theorem
Bipartite graph
Birch and Swinnerton-Dyer conjecture
Birkhoff's representation theorem
Block matrix
Burnside's lemma
Carmichael function
Cauchy–Schwarz inequality
Cayley graph
Cayley table
Cayley's theorem
Cayley–Hamilton theorem
Center (group theory)
Chain complex
Change of basis
Character (mathematics)
Characteristic (algebra)
Characteristic polynomial
Chordal graph
Chromatic polynomial
Class field theory
Class number formula
Class number problem
Classification of finite simple groups
Clifford algebra
Clique (graph theory)
Closed-form expression
Coalgebra
Coefficient
Coefficient matrix
Cograph
Cohen structure theorem
Collatz conjecture
Combination
Combinatorial group theory
Combinatorial principles
Combinatorial species
Combinatorics
Commutative algebra
Commutative ring
Commutator
Compact group
Complement graph
Complemented lattice
Complete bipartite graph
Complete graph
Complete lattice
Completely multiplicative function
Completion (algebra)
Complex conjugate
Complex number
Composite number
Composition (combinatorics)
Congruence relation
Congruence subgroup
Conjugacy class
Conjugate transpose
Connected component (graph theory)
Connectivity (graph theory)
Constant (mathematics)
Constant function
Continued fraction
Conway chained arrow notation
Coordinate vector
Coprime integers
Coset
Counting
Cramer's rule
Cross product
Cube root
Cubic function
Cycle (graph theory)
Cycle index
Cycles and fixed points
Cyclic group
Cyclic permutation
Cyclotomic field
De Bruijn–Erdős theorem (graph theory)
Dedekind domain
Dedekind zeta function
Definite quadratic form
Degree (graph theory)
Degree of a field extension
Degree of a polynomial
Dense graph
Descartes' rule of signs
Determinant
Diagonal matrix
Diagonalizable matrix
Dimension (vector space)
Diophantine approximation
Diophantine equation
Diophantine geometry
Direct product of groups
Direct sum
Direct sum of modules
Directed acyclic graph
Directed graph
Dirichlet character
Dirichlet eta function
Dirichlet L-function
Dirichlet's approximation theorem
Dirichlet's theorem on arithmetic progressions
Dirichlet's unit theorem
Discrete group
Discriminant
Discriminant of an algebraic number field
Disjoint union of graphs
Distributive lattice
Divisibility (ring theory)
Division (mathematics)
Divisor
Domain (ring theory)
Dot product
Double counting (proof technique)
Dual graph
Dual matroid
Dual number
Dual space
Dyadics
Dynkin diagram
Eigendecomposition of a matrix
Eigenvalues and eigenvectors
Elementary algebra
Elementary arithmetic
Elementary matrix
Elliptic curve
Enumerative combinatorics
Equality (mathematics)
Equation
Equation solving
Equivariant map
Euclid's lemma
Euclid's theorem
Euclidean vector
Euler product
Euler system
Euler's theorem
Euler's totient function
Eulerian path
Exact sequence
Expander graph
Expander mixing lemma
Exponential map (Lie theory)
Exponentiation
Expression (mathematics)
Exterior algebra
Factorial
Factorization
Factorization of polynomials
Falling and rising factorials
Fermat number
Fermat's Last Theorem
Fermat's little theorem
Field (mathematics)
Field extension
Field of fractions
Field with one element
Filtered algebra
Finite field
Finite group
Finite-rank operator
Finitely generated group
Finitely generated module
Five lemma
Flag (linear algebra)
Forbidden graph characterization
Four color theorem
Fraction (mathematics)
Fractional ideal
Free group
Free lattice
Free object
Free product
Frey curve
Functional equation
Functional equation (L-function)
Fundamental lemma (Langlands program)
Fundamental theorem of algebra
Fundamental theorem of arithmetic
Fundamental theorem of Galois theory
Galois extension
Galois group
Galois module
Galois theory
Gammoid
General linear group
Generalized inverse
Generalized Riemann hypothesis
Generating set of a group
Generating set of a module
Generator (mathematics)
Genus of a quadratic form
Geometric group theory
Geometric invariant theory
Geometric lattice
Global field
Goldbach's conjecture
Graded poset
Graded ring
Graph (discrete mathematics)
Graph automorphism
Graph center
Graph coloring
Graph isomorphism
Graph labeling
Graph minor
Graph operations
Graph polynomial
Graph product
Graph property
Graph theory
Graphic matroid
Greatest common divisor
Grothendieck group
Group (mathematics)
Group action
Group cohomology
Group homomorphism
Group isomorphism
Group representation
Group theory
Hadwiger conjecture (graph theory)
Hamiltonian path
Hamiltonian path problem
Handshaking lemma
Hardy–Littlewood circle method
Hasse–Weil zeta function
Hermitian matrix
Hilbert's irreducibility theorem
Homogeneous polynomial
Homological algebra
Homomorphism
Hopf algebra
Hypercomplex number
Hypergraph
Hyperoperation
Hypertree
Ideal (ring theory)
Ideal class group
Ideal number
Idempotent (ring theory)
Identity (mathematics)
Identity element
Identity matrix
Imaginary number
Imaginary unit
Immanant of a matrix
Incidence matrix
Inclusion–exclusion principle
Indecomposable module
Inequality (mathematics)
Inequation
Inner product space
Integer
Integer factorization
Integral domain
Interior algebra
Intersection graph
Invariant theory
Invertible matrix
Irrational number
Irreducible element
Irreducible polynomial
Irreducible representation
Iwasawa theory
Jacobson radical
Jordan algebra
Jordan matrix
Jordan normal form
Kac–Moody algebra
Kernel (algebra)
Kernel (linear algebra)
Kirchhoff's theorem
Knuth's up-arrow notation
Kronecker product
Kummer theory
Kuratowski's theorem
König's lemma
Kőnig's theorem (graph theory)
L-function
Lagrange's four-square theorem
Lagrange's theorem (group theory)
Langlands program
Laplace expansion
Laplacian matrix
Lattice (discrete subgroup)
Lattice (group)
Lattice (order)
Lattice path
Legendre symbol
Lie algebra
Lie algebra representation
Lie group
Lie group–Lie algebra correspondence
Lindelöf hypothesis
Linear algebra
Linear algebraic group
Linear combination
Linear equation
Linear form
Linear group
Linear independence
Linear map
Linear span
Linear subspace
Liouville function
Liouville number
List of simple Lie groups
List of zeta functions
Local field
Local ring
Local zeta-function
Localization (algebra)
Localization of a module
Localization of a ring
Locally compact group
Logarithm
Logarithm of a matrix
Logarithmic integral function
Loop (graph theory)
Magma (algebra)
Magnitude (mathematics)
Main conjecture of Iwasawa theory
Matching (graph theory)
Matrix (mathematics)
Matrix addition
Matrix coefficient
Matrix decomposition
Matrix exponential
Matrix function
Matrix group
Matrix multiplication
Matrix norm
Matroid
Matroid minor
Matroid rank
Matroid representation
Maximal ideal
Median graph
Mersenne prime
Method of distinguished element
Minimal polynomial (linear algebra)
Minor (linear algebra)
Mixed graph
Modular arithmetic
Modular form
Modular group
Modular lattice
Modular multiplicative inverse
Modular representation theory
Modularity theorem
Module (mathematics)
Modulo operation
Monadic Boolean algebra
Monic polynomial
Monoid
Monomial
Moore–Penrose inverse
Multigraph
Multilinear algebra
Multilinear form
Multilinear map
Multiplication
Multiplicative function
Multiplicative group
Multiplicative group of integers modulo n
Multiplicative inverse
Multiplicative number theory
MV-algebra
Möbius function
Möbius inversion formula
Nakayama's lemma
Natural number
Neighbourhood (graph theory)
Nilpotent
Nilpotent group
Noetherian ring
Non-abelian group
Non-associative algebra
Noncommutative ring
Norm (mathematics)
Normal extension
Normal matrix
Normal subgroup
Normed vector space
Nth root
Number
Number theory
Octonion
Operand
Operation (mathematics)
Operator norm
Opposite ring
Ordered field
Orientation (graph theory)
Orientation (vector space)
Orthogonal matrix
Orthogonality
Orthonormal basis
Outer product
Overdetermined system
P-adic analysis
P-adic L-function
P-adic number
P-adic order
Pairing
Parity (mathematics)
Parity of a permutation
Partial function
Partial permutation
Partition (number theory)
Partition matroid
Partition regularity
Pascal's triangle
Path (graph theory)
Path graph
Pentation
Percentage
Perfect graph
Perfect number
Perfectoid space
Permanent (mathematics)
Permutation
Permutation group
Permutation matrix
Permutation pattern
Peter–Weyl theorem
Pigeonhole principle
Planar graph
Platonic graph
Polynomial
Polynomial greatest common divisor
Polynomial ring
Polytree
Pontryagin duality
Positive-definite matrix
Presentation of a group
Primary decomposition
Primary ideal
Prime element
Prime ideal
Prime number
Prime number theorem
Prime power
Prime-counting function
Primitive root modulo n
Principal ideal
Principal ideal domain
Product (mathematics)
Product ring
Profinite group
Projection (linear algebra)
Projective linear group
Pólya enumeration theorem
Q-analog
Q-Pochhammer symbol
Quadratic equation
Quadratic field
Quadratic form
Quadratic function
Quadratic integer
Quadratic reciprocity
Quasi-homogeneous polynomial
Quasigroup
Quaternion
Quotient
Quotient algebra
Quotient group
Quotient ring
Radical of a module
Radical of an ideal
Radical of an integer
Ramsey theory
Ramsey's theorem
Rank (linear algebra)
Rank of a group
Rank of an abelian group
Ratio
Rational number
Rational point
Reachability
Real number
Reciprocity law
Reduced residue system
Reductive group
Regular graph
Regular matroid
Regular prime
Regular representation
Remainder
Representation of a Lie group
Representation of a Lie superalgebra
Representation theory
Representation theory of finite groups
Residually finite group
Residue field
Ribet's theorem
Riemann hypothesis
Riemann zeta function
Rigid analytic space
Ring (mathematics)
Ring homomorphism
Ring of integers
Ring of mixed characteristic
Ring theory
Rng (algebra)
Robertson–Seymour theorem
Root of unity
Root system
Rotation matrix
Roth's theorem
Rouché–Capelli theorem
Row and column spaces
Row and column vectors
Rule of product
Rule of sum
Scalar (mathematics)
Scalar multiplication
Self-complementary graph
Semidirect product
Semigroup
Semilattice
Semimodular lattice
Semiprime
Semisimple Lie algebra
Semisimple module
Separable extension
Series-parallel graph
Seven Bridges of Königsberg
Sieve theory
Simple group
Simple Lie group
Simple module
Skewes's number
Snake lemma
Socle (mathematics)
Solution set
Solvable group
Spanning tree
Split-complex number
Square matrix
Square root
Square root of 2
Square root of a matrix
Standard basis
Subgroup
Subring
Substitution (algebra)
Subtraction
Summation
Superpattern
Superpermutation
Sylow theorems
Symbolic method (combinatorics)
Symmetric algebra
Symmetric bilinear form
Symmetric group
Symmetric matrix
System of linear equations
System of polynomial equations
Table of Lie groups
Tensor algebra
Tensor product
Tensor product of representations
Tetration
Topological group
Topological ring
Torsion (algebra)
Total ring of fractions
Tournament (graph theory)
Trace (linear algebra)
Transcendental number
Transcendental number theory
Transformation matrix
Transpose
Transversal (combinatorics)
Tree (graph theory)
Tree decomposition
Tree-depth
Treewidth
Triangle-free graph
Triangular matrix
Trinomial
Trémaux tree
Tutte polynomial
Twelvefold way
Twin prime
Unary operation
Underdetermined system
Uniform matroid
Unique factorization domain
Unitary matrix
Unitary representation
Universal algebra
Universal enveloping algebra
Valuation (algebra)
Variable (mathematics)
Vector space
Vertex (graph theory)
Vertex cover
Von Mangoldt function
Wagner's theorem
Waring's problem
Weil conjectures
Weyl algebra
Word (group theory)
Word problem for groups
Young tableau
Zero divisor
Zero element
Zero matrix
Zero of a function
Zero ring