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

Reality Theory: Algebra&Number Theory

*-algebra

0 (number)

1 (number)

2

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Abc conjecture

Abelian extension

Abelian group

Absolute difference

Absolute Galois group

Absolute value

Absolute value (algebra)

Abstract algebra

Acyclic orientation

Addition

Additive function

Additive identity

Additive inverse

Additive map

Additive number theory

Adele ring

Adelic algebraic group

Adjacency matrix

Adjoint representation

Adjugate matrix

Affine Lie algebra

Albert algebra

Algebra

Algebra over a field

Algebra representation

Algebraic closure

Algebraic combinatorics

Algebraic connectivity

Algebraic element

Algebraic equation

Algebraic expression

Algebraic extension

Algebraic fraction

Algebraic function field

Algebraic graph theory

Algebraic group

Algebraic independence

Algebraic integer

Algebraic number

Algebraic number field

Algebraic number theory

Algebraic operation

Algebraic structure

Algebraically closed field

Almost prime

Alternating group

Alternating polynomial

Amicable numbers

Anabelian geometry

Analytic number theory

Annihilator (ring theory)

Antihomomorphism

Antiisomorphism

Antilinear map

Antimatroid

Aperiodic semigroup

Apex graph

Arborescence (graph theory)

Arboricity

Archimedean property

Argument of a function

Arithmetic

Arithmetic function

Arithmetic geometry

Arithmetic group

Arithmetic of abelian varieties

Arity

Arthur–Selberg trace formula

Artin reciprocity law

Ascending chain condition

Associated prime

Association scheme

Associative algebra

Augmented matrix

Automatic group

Automatic semigroup

Automorphic form

Automorphism group

Average order of an arithmetic function

Baby monster group

Bareiss algorithm

Basis (linear algebra)

Bass–Serre theory

Bernoulli number

Bernoulli polynomials

Beta skeleton

Bialgebra

Biconnected component

Biconnected graph

Bijective proof

Bilinear form

Bilinear map

Bimodule

Binary matroid

Binary quadratic form

Binomial (polynomial)

Binomial coefficient

Binomial theorem

Bipartite graph

Bipartite hypergraph

Birch and Swinnerton-Dyer conjecture

Birkhoff's representation theorem

Bivector

Block design

Block matrix

Boolean algebra (structure)

Boolean algebras canonically defined

Boolean ring

Brauer group

Brauer's theorem on induced characters

Bézout domain

Bézout's identity

Cage (graph theory)

Cancellation property

Cancelling out

Carmichael function

Carry (arithmetic)

Cartan decomposition

Cartan matrix

Cartan subalgebra

Cartan's criterion

Catalan number

Cauchy–Schwarz inequality

Cayley graph

Cayley table

Cayley's theorem

Cayley–Hamilton theorem

Center (group theory)

Center (ring theory)

Central simple algebra

Centralizer and normalizer

Chain complex

Change of basis

Character (mathematics)

Character table

Character theory

Characteristic (algebra)

Characteristic polynomial

Chebyshev function

Chebyshev polynomials

Cheeger constant (graph theory)

Chief series

Chinese remainder theorem

Chordal graph

Chromatic polynomial

Circle group

Circuit rank

Class field theory

Class formation

Class function (algebra)

Class number formula

Class number problem

Classical group

Classical orthogonal polynomials

Classification of finite simple groups

Clifford algebra

Clique (graph theory)

Clique complex

Closed-form expression

Coalgebra

Coefficient

Coefficient matrix

Cograph

Cohen structure theorem

Cohomological dimension

Collatz conjecture

Combination

Combinatorial design

Combinatorial group theory

Combinatorial principles

Combinatorial species

Combinatorics

Commutative algebra

Commutative ring

Commutator

Comodule

Compact group

Comparability graph

Complement graph

Complemented lattice

Complete bipartite graph

Complete field

Complete graph

Complete lattice

Completely distributive lattice

Completely multiplicative function

Completing the square

Completion (algebra)

Completion of a ring

Complex conjugate

Complex number

Complexification

Composite number

Composition (combinatorics)

Composition algebra

Composition series

Computable number

Conductor (ring theory)

Congruence of squares

Congruence relation

Congruence subgroup

Conjugacy class

Conjugate transpose

Connected component (graph theory)

Connected dominating set

Connectivity (graph theory)

Constant (mathematics)

Constant function

Constant term

Constructible number

Continued fraction

Conway chained arrow notation

Conway group

Coordinate vector

Coprime integers

Coset

Counting

Covariance and contravariance of vectors

Covering graph

Coxeter group

Cramer's rule

Cross product

Crossing number (graph theory)

Cube (algebra)

Cube root

Cubic function

Cubic graph

Cusp form

Cuspidal representation

Cut (graph theory)

Cycle (graph theory)

Cycle basis

Cycle graph

Cycle index

Cycle rank

Cycle space

Cycles and fixed points

Cyclic group

Cyclic permutation

Cyclotomic field

De Bruijn–Erdős theorem (graph theory)

Dedekind domain

Dedekind eta function

Dedekind zeta function

Defective matrix

Definite quadratic form

Definiteness of a matrix

Degenerate bilinear form

Degree (graph theory)

Degree matrix

Degree of a field extension

Degree of a polynomial

Dense graph

Depth (ring theory)

Derangement

Derivation (differential algebra)

Descartes' rule of signs

Determinant

Diagonal matrix

Diagonalizable matrix

Difference of two squares

Difference set

Differential algebra

Dimension (graph theory)

Dimension (vector space)

Dimension of an algebraic variety

Dimension theory (algebra)

Diophantine approximation

Diophantine equation

Diophantine geometry

Direct product

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

Discrete logarithm

Discriminant

Discriminant of an algebraic number field

Disjoint union of graphs

Distance (graph theory)

Distance-regular graph

Distance-transitive graph

Distributive lattice

Divisibility (ring theory)

Divisibility rule

Divisible group

Division (mathematics)

Division algebra

Division algorithm

Division by zero

Division ring

Divisor

Divisor function

Divisor summatory function

Domain (ring theory)

Dominating set

Dot product

Double counting (proof technique)

Dual graph

Dual matroid

Dual number

Dual quaternion

Dual representation

Dual space

Dual system

Dyadics

Dynkin diagram

Dynkin index

E8 (mathematics)

E8 lattice

Edge and vertex spaces

Edge coloring

Edge contraction

Eigendecomposition of a matrix

Eigenfunction

Eigenvalues and eigenvectors

Eisenstein series

Elementary algebra

Elementary arithmetic

Elementary matrix

Elementary symmetric polynomial

Elliptic curve

Empty product

Empty sum

Endomorphism ring

Endoscopic group

Enumerative combinatorics

Equation

Equation solving

Equivariant map

Euclid's lemma

Euclid's theorem

Euclidean division

Euclidean vector

Euler product

Euler system

Euler's theorem

Euler's totient function

Eulerian path

Exact sequence

Expander graph

Expander mixing lemma

Explicit formulae (L-function)

Exponential map (Lie theory)

Exponential sum

Exponentiation

Expression (mathematics)

Exterior algebra

F4 (mathematics)

Factorial

Factorization

Factorization of polynomials

Falling and rising factorials

Faltings's theorem

Fermat number

Fermat's Last Theorem

Fermat's little theorem

Field (mathematics)

Field extension

Field of fractions

Field of sets

Field with one element

Filtered algebra

Filtration (mathematics)

Finite field

Finite group

Finite-rank operator

Finitely generated abelian group

Finitely generated group

Finitely generated module

Five lemma

Floor and ceiling functions

Forbidden graph characterization

Formal group law

Four color theorem

Fraction (mathematics)

Fractional ideal

Frame (linear algebra)

Free abelian group

Free algebra

Free group

Free lattice

Free module

Free monoid

Free object

Free product

Frey curve

Frobenius algebra

Frobenius endomorphism

Functional equation

Functional equation (L-function)

Fundamental domain

Fundamental lemma (Langlands program)

Fundamental pair of periods

Fundamental representation

Fundamental theorem of algebra

Fundamental theorem of arithmetic

Fundamental theorem of Galois theory

Galois cohomology

Galois extension

Galois group

Galois module

Galois theory

Gammoid

Gauss sum

Gaussian binomial coefficient

Gaussian period

Gegenbauer polynomials

General linear group

Generalized eigenvector

Generalized inverse

Generalized Kac–Moody algebra

Generalized Riemann hypothesis

Generating primes

Generating set of a group

Generating set of a module

Generator (mathematics)

Genus of a quadratic form

Geometric algebra

Geometric graph theory

Geometric group theory

Geometric invariant theory

Geometric Langlands correspondence

Geometric lattice

Geometry of numbers

Girth (graph theory)

Global dimension

Global field

Goldbach's conjecture

Golomb–Dickman constant

Graded (mathematics)

Graded Lie algebra

Graded poset

Graded ring

Graded vector space

Graph (discrete mathematics)

Graph automorphism

Graph center

Graph coloring

Graph embedding

Graph isomorphism

Graph labeling

Graph minor

Graph of groups

Graph operations

Graph partition

Graph polynomial

Graph product

Graph property

Graph structure theorem

Graph theory

Graphic matroid

Greatest common divisor

Greedoid

Green's relations

Grothendieck group

Group (mathematics)

Group action (mathematics)

Group algebra

Group cohomology

Group extension

Group homomorphism

Group Hopf algebra

Group isomorphism

Group of Lie type

Group representation

Group ring

Group scheme

Group theory

Hadamard matrix

Hadwiger conjecture (graph theory)

Hamiltonian path

Hamiltonian path problem

Hamming scheme

Handshaking lemma

Hardy–Littlewood circle method

Harmonic number

Hasse principle

Hasse's theorem on elliptic curves

Hasse–Weil zeta function

Hecke character

Height function

Hereditary ring

Hermite polynomials

Hermitian matrix

Hilbert's basis theorem

Hilbert's irreducibility theorem

Hilbert's Nullstellensatz

Hilbert's syzygy theorem

HNN extension

Homeomorphism (graph theory)

Homogeneous function

Homogeneous polynomial

Homogeneous space

Homological algebra

Homomorphism

Hopf algebra

Hurwitz polynomial

Hypercomplex number

Hypergraph

Hyperoperation

Hypertree

Ideal (ring theory)

Ideal class group

Ideal number

Idealizer

Idempotent (ring theory)

Identity (mathematics)

Identity element

Identity matrix

Imaginary number

Imaginary unit

Immanant of a matrix

Incidence matrix

Inclusion–exclusion principle

Indecomposable module

Independent set (graph theory)

Indeterminate (variable)

Index of a subgroup

Indifference graph

Induced path

Induced representation

Induced subgraph

Inequality (mathematics)

Inequation

Injective module

Inner product space

Integer

Integer factorization

Integral domain

Integral element

Interior algebra

Interior product

Intersection graph

Interval graph

Invariant (mathematics)

Invariant theory

Inverse element

Inverse semigroup

Inversion (discrete mathematics)

Invertible matrix

Irrational number

Irreducible element

Irreducible fraction

Irreducible polynomial

Irreducible representation

Isotropic quadratic form

Iwasawa theory

J-invariant

Jacobi identity

Jacobi polynomials

Jacobson radical

Johnson scheme

Jordan algebra

Jordan matrix

Jordan normal form

K-edge-connected graph

K-vertex-connected graph

Kac–Moody algebra

Kazhdan–Lusztig polynomial

Kernel (algebra)

Kernel (linear algebra)

Killing form

Kirchhoff's theorem

Knuth's up-arrow notation

Krohn–Rhodes theory

Kronecker product

Krull dimension

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)

Laguerre polynomials

Lah number

Langlands dual group

Langlands group

Langlands program

Laplace expansion

Laplacian matrix

Latin square

Lattice (discrete subgroup)

Lattice (group)

Lattice (order)

Lattice path

Least common multiple

Leech lattice

Left and right (algebra)

Legendre polynomials

Lehmer code

Length of a module

Levi graph

Lie algebra

Lie algebra representation

Lie group

Lie group–Lie algebra correspondence

Lie superalgebra

Like terms

Lindelöf hypothesis

Line graph

Linear algebra

Linear algebraic group

Linear combination

Linear equation

Linear form

Linear group

Linear independence

Linear map

Linear span

Linear subspace

Linearity

Linkless embedding

Liouville function

Liouville number

List of simple Lie groups

List of zeta functions

Local class field theory

Local field

Local ring

Local zeta-function

Localization (algebra)

Localization of a module

Localization of a ring

Locally compact group

Locally linear graph

Logarithm

Logarithm of a matrix

Logarithmic integral function

Loop (graph theory)

Lovász local lemma

Lowest common ancestor

Lowest common denominator

Magic square

Magma (algebra)

Magnitude (mathematics)

Main conjecture of Iwasawa theory

Majorization

Matching (graph theory)

Matrix (mathematics)

Matrix addition

Matrix coefficient

Matrix decomposition

Matrix exponential

Matrix function

Matrix group

Matrix multiplication

Matrix norm

Matrix ring

Matroid

Matroid girth

Matroid minor

Matroid partitioning

Matroid rank

Matroid representation

Maximal ideal

Maximal torus

Median graph

Mersenne prime

Mertens function

Method of conditional probabilities

Method of distinguished element

Minimal polynomial (field theory)

Minimal polynomial (linear algebra)

Minkowski's theorem

Minor (linear algebra)

Mixed graph

Mixed tensor

Modular arithmetic

Modular form

Modular group

Modular lattice

Modular multiplicative inverse

Modular representation theory

Modularity theorem

Module (mathematics)

Module homomorphism

Modulo operation

Monadic Boolean algebra

Monic polynomial

Monoid

Monomial

Monomial basis

Monomial ideal

Monster group

Moore–Penrose inverse

Mordell–Weil theorem

Morita equivalence

Multigraph

Multilinear algebra

Multilinear form

Multilinear map

Multipartite graph

Multiplication

Multiplication algorithm

Multiplication of vectors

Multiplication table

Multiplicative function

Multiplicative group

Multiplicative group of integers modulo n

Multiplicative inverse

Multiplicative number theory

Multivector

MV-algebra

Möbius function

Möbius inversion formula

Nakayama's lemma

Natural density

Natural number

Negative number

Neighbourhood (graph theory)

Nielsen transformation

Nilpotent

Nilpotent group

Noetherian ring

Non-abelian class field theory

Non-abelian group

Non-associative algebra

Noncommutative ring

Nondegenerate form

Nonnegative matrix

Norm (mathematics)

Normal basis

Normal extension

Normal matrix

Normal number

Normal subgroup

Normed vector space

Nth root

Null graph

Null vector

Number

Number theory

Octonion

Octonion algebra

One-form

Operand

Operation (mathematics)

Operator norm

Opposite ring

Order (group theory)

Ordered field

Orders of magnitude (numbers)

Orientation (graph theory)

Orientation (vector space)

Oriented matroid

Orthogonal complement

Orthogonal group

Orthogonal matrix

Orthogonal polynomials

Orthogonality

Orthonormal basis

Orthonormality

Outer product

Overdetermined system

P-adic analysis

P-adic Hodge theory

P-adic L-function

P-adic number

P-adic order

P-group

Pairing

Parabolic induction

Parity (mathematics)

Parity of a permutation

Partial cube

Partial fraction decomposition

Partial permutation

Partial trace

Partition (number theory)

Partition function (number theory)

Partition matroid

Partition regularity

Pascal's triangle

Path (graph theory)

Path graph

Pathwidth

Penrose graphical notation

Pentation

Percentage

Perfect graph

Perfect graph theorem

Perfect number

Perfectoid space

Permanent (mathematics)

Permutation

Permutation group

Permutation matrix

Permutation pattern

Perron–Frobenius theorem

Petersen family

Petersen graph

Peter–Weyl theorem

Pigeonhole principle

Planar graph

Planar separator theorem

Platonic graph

Poisson algebra

Polar decomposition

Polarization identity

Polyhedral graph

Polynomial

Polynomial basis

Polynomial decomposition

Polynomial evaluation

Polynomial expansion

Polynomial greatest common divisor

Polynomial remainder theorem

Polynomial ring

Polytree

Pontryagin duality

Positive-definite matrix

Presentation of a group

Presentation of a monoid

Primality test

Primary decomposition

Primary ideal

Prime element

Prime gap

Prime ideal

Prime number

Prime number theorem

Prime power

Prime-counting function

Primitive element (finite field)

Primitive element theorem

Primitive polynomial (field theory)

Primitive root modulo n

Principal ideal

Principal ideal domain

Probabilistic method

Probable prime

Product (mathematics)

Product ring

Profinite group

Projection (linear algebra)

Projective linear group

Projective module

Projective orthogonal group

Projective representation

Proportionality (mathematics)

Prüfer domain

Prüfer group

Pseudoscalar

Pseudovector

Pólya enumeration theorem

Q-analog

Q-Pochhammer symbol

Quadratic equation

Quadratic field

Quadratic form

Quadratic formula

Quadratic function

Quadratic integer

Quadratic reciprocity

Quadratic residue

Quantale

Quantum group

Quartic function

Quasigroup

Quaternion

Quaternion algebra

Quiver (mathematics)

Quotient

Quotient algebra

Quotient graph

Quotient group

Quotient ring

Quotient space (linear algebra)

Radical of a module

Radical of an ideal

Radical of an integer

Raising and lowering indices

Ramsey theory

Ramsey's theorem

Rank (graph theory)

Rank (linear algebra)

Rank of a group

Rank of an abelian group

Ratio

Rational function

Rational number

Rational point

Rayleigh quotient

Reachability

Real form (Lie theory)

Real number

Real representation

Real structure

Reciprocity law

Reduced residue system

Reductive group

Regular graph

Regular matroid

Regular prime

Regular representation

Regular semigroup

Relative change and difference

Remainder

Representation of a Lie group

Representation of a Lie superalgebra

Representation theory

Representation theory of finite groups

Representation theory of the symmetric group

Residually finite group

Residuated lattice

Residue field

Resolution (algebra)

Resultant

Ribet's theorem

Riemann hypothesis

Riemann zeta function

Rigid analytic space

Ring (mathematics)

Ring homomorphism

Ring of integers

Ring of mixed characteristic

Ring of symmetric functions

Ring theory

Rng (algebra)

Robertson–Seymour theorem

Root of unity

Root system

Rotation map

Rotation matrix

Roth's theorem

Rouché–Capelli theorem

Routh–Hurwitz theorem

Row and column spaces

Row and column vectors

Rule of product

Rule of sum

Scalar (mathematics)

Scalar multiplication

Scalar projection

Schmidt decomposition

Schreier's lemma

Schur polynomial

Selberg trace formula

Self-complementary graph

Semi-simplicity

Semidirect product

Semifield

Semigroup

Semigroup action

Semigroup with involution

Semilattice

Semimodular lattice

Semiprime

Semiring

Semisimple algebra

Semisimple Lie algebra

Semisimple module

Separable extension

Series-parallel graph

Sesquilinear form

Seven Bridges of Königsberg

Shear matrix

Sieve theory

Sign (mathematics)

Signed graph

Simple algebra

Simple extension

Simple group

Simple Lie group

Simple module

Singly and doubly even

Singular value decomposition

Skew partition

Skew-symmetric graph

Skew-symmetric matrix

Skewes's number

Snake lemma

Solution set

Solvable group

Spanning tree

Special linear group

Special unitary group

Spectral graph theory

Spectral sequence

Spectrum of a matrix

Spin group

Spin representation

Split graph

Split-complex number

Split-octonion

Split-quaternion

Splitting field

Sporadic group

Square (algebra)

Square matrix

Square number

Square root

Square root of 2

Square root of a matrix

Square-free integer

Stable polynomial

Standard basis

Stanley–Reisner ring

Stirling number

Strong perfect graph theorem

Strongly connected component

Strongly regular graph

Structure constants

Structure theorem for finitely generated modules over a principal ideal domain

Subalgebra

Subdirect product

Subdirectly irreducible algebra

Subgroup

Subgroup series

Subring

Substitution (algebra)

Subtraction

Summation

Super vector space

Superalgebra

Supercommutative algebra

Supergroup (physics)

Supermodule

Superpattern

Superpermutation

Sylow theorems

Symbolic method (combinatorics)

Symmetric algebra

Symmetric bilinear form

Symmetric function

Symmetric graph

Symmetric group

Symmetric matrix

Symmetric polynomial

Symmetrization

Symmetry in mathematics

Symplectic group

Symplectic matrix

Symplectic vector space

System of linear equations

System of polynomial equations

Table of Lie groups

Tate cohomology group

Tate module

Tensor algebra

Tensor contraction

Tensor product

Tensor product of representations

Tensor rank decomposition

Tetration

Topological algebra

Topological graph

Topological graph theory

Topological group

Topological ring

Torsion (algebra)

Total ring of fractions

Totally positive matrix

Tournament (graph theory)

Trace (linear algebra)

Trace diagram

Transcendence degree

Transcendental number

Transcendental number theory

Transformation matrix

Transformation semigroup

Transitive reduction

Transpose

Transpose of a linear map

Transversal (combinatorics)

Tree (graph theory)

Tree decomposition

Tree-depth

Treewidth

Triangle-free graph

Triangular matrix

Triangular number

Trinomial

Triple product

Triple system

Trivial representation

Trémaux tree

Tutte polynomial

Twelvefold way

Twin prime

Unary operation

Underdetermined system

Uniform matroid

Unimodular lattice

Unique factorization domain

Unit (ring theory)

Unit distance graph

Unit vector

Unitary group

Unitary matrix

Unitary representation

Unitary transformation

Universal algebra

Universal embedding theorem

Universal enveloping algebra

Valuation (algebra)

Variable (mathematics)

Variety (universal algebra)

Variety of finite semigroups

Vector (mathematics and physics)

Vector projection

Vector space

Vertex (graph theory)

Vertex cover

Vertex-transitive graph

Von Mangoldt function

Wagner's theorem

Waring's problem

Weight (representation theory)

Weil conjectures

Weil group

Weyl algebra

Weyl character formula

Weyl group

Wheel theory

Witt group

Witt vector

Witt's theorem

Word (group theory)

Wreath product

Young tableau

Zero divisor

Zero element

Zero matrix

Zero of a function

Zero ring

Zig-zag product