Jump to content

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

From Wikipedia, the free encyclopedia

The Wikimedia Foundation's book rendering service has been withdrawn. Please upload your Wikipedia book to one of the external rendering services.

You can still create and edit a book design using the Book Creator and upload it to an external rendering service:

MediaWiki2LaTeX provides a softcopy PDF service. Uniquely, it remains under active support and may be used online or installed locally.
Pedia Press offer final tidying and ordering of print-on-demand bound copies in (approximately) A5 format.

For help with downloading a single Wikipedia page as a PDF, see Help:Download as PDF.

This user book is a user-generated collection of Wikipedia articles that can be easily saved, rendered electronically, and ordered as a printed book. If you are the creator of this book and need help, see Help:Books (general tips) and WikiProject Wikipedia-Books (questions and assistance).

Edit this book: Book Creator · Wikitext

Order a printed copy from: PediaPress

[ About ] [ Advanced ] [ FAQ ] [ Feedback ] [ Help ] [ WikiProject ] [ Recent Changes ]

Reality Theory: Algebra&Number Theory

Abelian extension

Absolute difference

Absolute Galois group

Absolute value (algebra)

Abstract algebra

Acyclic orientation

Additive function

Additive identity

Additive inverse

Additive number theory

Adelic algebraic group

Adjacency matrix

Adjoint representation

Adjugate matrix

Affine Lie 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

Alternating group

Alternating polynomial

Amicable numbers

Anabelian geometry

Analytic number theory

Annihilator (ring theory)

Antihomomorphism

Antiisomorphism

Aperiodic semigroup

Arborescence (graph theory)

Archimedean property

Argument of a function

Arithmetic function

Arithmetic geometry

Arithmetic group

Arithmetic of abelian varieties

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

Biconnected component

Biconnected graph

Bijective proof

Binary quadratic form

Binomial (polynomial)

Binomial coefficient

Binomial theorem

Bipartite graph

Bipartite hypergraph

Birch and Swinnerton-Dyer conjecture

Birkhoff's representation theorem

Boolean algebra (structure)

Boolean algebras canonically defined

Brauer's theorem on induced characters

Bézout's identity

Cage (graph theory)

Cancellation property

Carmichael function

Carry (arithmetic)

Cartan decomposition

Cartan subalgebra

Cartan's criterion

Cauchy–Schwarz inequality

Cayley's theorem

Cayley–Hamilton theorem

Center (group theory)

Center (ring theory)

Central simple algebra

Centralizer and normalizer

Change of basis

Character (mathematics)

Character table

Character theory

Characteristic (algebra)

Characteristic polynomial

Chebyshev function

Chebyshev polynomials

Cheeger constant (graph theory)

Chinese remainder theorem

Chromatic polynomial

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)

Closed-form expression

Coefficient matrix

Cohen structure theorem

Cohomological dimension

Collatz conjecture

Combinatorial design

Combinatorial group theory

Combinatorial principles

Combinatorial species

Commutative algebra

Commutative ring

Comparability graph

Complement graph

Complemented lattice

Complete bipartite graph

Complete lattice

Completely distributive lattice

Completely multiplicative function

Completing the square

Completion (algebra)

Completion of a ring

Complex conjugate

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

Constructible number

Continued fraction

Conway chained arrow notation

Coordinate vector

Coprime integers

Covariance and contravariance of vectors

Crossing number (graph theory)

Cuspidal representation

Cut (graph theory)

Cycle (graph theory)

Cycles and fixed points

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 of a field extension

Degree of a polynomial

Depth (ring theory)

Derivation (differential algebra)

Descartes' rule of signs

Diagonal matrix

Diagonalizable matrix

Difference of two squares

Differential algebra

Dimension (graph theory)

Dimension (vector space)

Dimension of an algebraic variety

Dimension theory (algebra)

Diophantine approximation

Diophantine equation

Diophantine geometry

Direct product of groups

Direct sum of modules

Directed acyclic graph

Dirichlet character

Dirichlet eta function

Dirichlet L-function

Dirichlet's approximation theorem

Dirichlet's theorem on arithmetic progressions

Dirichlet's unit theorem

Discrete logarithm

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

Divisor function

Divisor summatory function

Domain (ring theory)

Double counting (proof technique)

Dual quaternion

Dual representation

E8 (mathematics)

Edge and vertex spaces

Edge contraction

Eigendecomposition of a matrix

Eigenvalues and eigenvectors

Eisenstein series

Elementary algebra

Elementary arithmetic

Elementary matrix

Elementary symmetric polynomial

Endomorphism ring

Endoscopic group

Enumerative combinatorics

Equation solving

Equivariant map

Euclid's theorem

Euclidean division

Euclidean vector

Euler's theorem

Euler's totient function

Expander mixing lemma

Explicit formulae (L-function)

Exponential map (Lie theory)

Exponential sum

Expression (mathematics)

Exterior algebra

F4 (mathematics)

Factorization of polynomials

Falling and rising factorials

Faltings's theorem

Fermat's Last Theorem

Fermat's little theorem

Field (mathematics)

Field extension

Field of fractions

Field with one element

Filtered algebra

Filtration (mathematics)

Finite-rank operator

Finitely generated abelian group

Finitely generated group

Finitely generated module

Floor and ceiling functions

Forbidden graph characterization

Formal group law

Four color theorem

Fraction (mathematics)

Fractional ideal

Frame (linear algebra)

Free abelian group

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

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

Goldbach's conjecture

Golomb–Dickman constant

Graded (mathematics)

Graded Lie algebra

Graded vector space

Graph (discrete mathematics)

Graph automorphism

Graph embedding

Graph isomorphism

Graph of groups

Graph operations

Graph partition

Graph polynomial

Graph structure theorem

Graphic matroid

Greatest common divisor

Green's relations

Grothendieck group

Group (mathematics)

Group action (mathematics)

Group cohomology

Group extension

Group homomorphism

Group Hopf algebra

Group isomorphism

Group of Lie type

Group representation

Hadamard matrix

Hadwiger conjecture (graph theory)

Hamiltonian path

Hamiltonian path problem

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

Homeomorphism (graph theory)

Homogeneous function

Homogeneous polynomial

Homogeneous space

Homological algebra

Hurwitz polynomial

Hypercomplex number

Ideal (ring theory)

Ideal class group

Idempotent (ring theory)

Identity (mathematics)

Identity element

Identity matrix

Imaginary number

Immanant of a matrix

Incidence matrix

Inclusion–exclusion principle

Indecomposable module

Independent set (graph theory)

Indeterminate (variable)

Index of a subgroup

Indifference graph

Induced representation

Induced subgraph

Inequality (mathematics)

Injective module

Inner product space

Integer factorization

Integral domain

Integral element

Interior algebra

Interior product

Intersection 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

Jacobi identity

Jacobi polynomials

Jacobson radical

Jordan normal form

K-edge-connected graph

K-vertex-connected graph

Kac–Moody algebra

Kazhdan–Lusztig polynomial

Kernel (algebra)

Kernel (linear algebra)

Kirchhoff's theorem

Knuth's up-arrow notation

Krohn–Rhodes theory

Kronecker product

Krull dimension

Kuratowski's theorem

Kőnig's theorem (graph theory)

Lagrange's four-square theorem

Lagrange's theorem (group theory)

Laguerre polynomials

Langlands dual group

Langlands group

Langlands program

Laplace expansion

Laplacian matrix

Lattice (discrete subgroup)

Lattice (group)

Lattice (order)

Least common multiple

Left and right (algebra)

Legendre polynomials

Length of a module

Lie algebra representation

Lie group–Lie algebra correspondence

Lie superalgebra

Lindelöf hypothesis

Linear algebraic group

Linear combination

Linear equation

Linear independence

Linear subspace

Linkless embedding

Liouville function

Liouville number

List of simple Lie groups

List of zeta functions

Local class field theory

Local zeta-function

Localization (algebra)

Localization of a module

Localization of a ring

Locally compact group

Locally linear graph

Logarithm of a matrix

Logarithmic integral function

Loop (graph theory)

Lovász local lemma

Lowest common ancestor

Lowest common denominator

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 multiplication

Matroid partitioning

Matroid representation

Mertens function

Method of conditional probabilities

Method of distinguished element

Minimal polynomial (field theory)

Minimal polynomial (linear algebra)

Minkowski's theorem

Minor (linear algebra)

Modular arithmetic

Modular lattice

Modular multiplicative inverse

Modular representation theory

Modularity theorem

Module (mathematics)

Module homomorphism

Modulo operation

Monadic Boolean algebra

Monic polynomial

Moore–Penrose inverse

Mordell–Weil theorem

Morita equivalence

Multilinear algebra

Multilinear form

Multilinear map

Multipartite graph

Multiplication algorithm

Multiplication of vectors

Multiplication table

Multiplicative function

Multiplicative group

Multiplicative group of integers modulo n

Multiplicative inverse

Multiplicative number theory

Möbius function

Möbius inversion formula

Nakayama's lemma

Natural density

Negative number

Neighbourhood (graph theory)

Nielsen transformation

Nilpotent group

Noetherian ring

Non-abelian class field theory

Non-abelian group

Non-associative algebra

Noncommutative ring

Nondegenerate form

Nonnegative matrix

Norm (mathematics)

Normal extension

Normal subgroup

Normed vector space

Octonion algebra

Operation (mathematics)

Order (group theory)

Orders of magnitude (numbers)

Orientation (graph theory)

Orientation (vector space)

Oriented matroid

Orthogonal complement

Orthogonal group

Orthogonal matrix

Orthogonal polynomials

Orthonormal basis

Overdetermined system

P-adic analysis

P-adic Hodge theory

P-adic L-function

Parabolic induction

Parity (mathematics)

Parity of a permutation

Partial fraction decomposition

Partial permutation

Partition (number theory)

Partition function (number theory)

Partition matroid

Partition regularity

Pascal's triangle

Path (graph theory)

Penrose graphical notation

Perfect graph theorem

Perfectoid space

Permanent (mathematics)

Permutation group

Permutation matrix

Permutation pattern

Perron–Frobenius theorem

Petersen family

Peter–Weyl theorem

Pigeonhole principle

Planar separator theorem

Poisson algebra

Polar decomposition

Polarization identity

Polyhedral graph

Polynomial basis

Polynomial decomposition

Polynomial evaluation

Polynomial expansion

Polynomial greatest common divisor

Polynomial remainder theorem

Polynomial ring

Pontryagin duality

Positive-definite matrix

Presentation of a group

Presentation of a monoid

Primary decomposition

Prime number theorem

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

Product (mathematics)

Profinite group

Projection (linear algebra)

Projective linear group

Projective module

Projective orthogonal group

Projective representation

Proportionality (mathematics)

Pólya enumeration theorem

Q-Pochhammer symbol

Quadratic equation

Quadratic field

Quadratic formula

Quadratic function

Quadratic integer

Quadratic reciprocity

Quadratic residue

Quartic function

Quaternion algebra

Quiver (mathematics)

Quotient algebra

Quotient space (linear algebra)

Radical of a module

Radical of an ideal

Radical of an integer

Raising and lowering indices

Ramsey's theorem

Rank (graph theory)

Rank (linear algebra)

Rank of a group

Rank of an abelian group

Rational function

Rational number

Rayleigh quotient

Real form (Lie theory)

Real representation

Reciprocity law

Reduced residue system

Reductive group

Regular matroid

Regular representation

Regular semigroup

Relative change and difference

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

Resolution (algebra)

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

Robertson–Seymour theorem

Rotation matrix

Rouché–Capelli theorem

Routh–Hurwitz theorem

Row and column spaces

Row and column vectors

Rule of product

Scalar (mathematics)

Scalar multiplication

Scalar projection

Schmidt decomposition

Schreier's lemma

Schur polynomial

Selberg trace formula

Self-complementary graph

Semi-simplicity

Semidirect product

Semigroup action

Semigroup with involution

Semimodular lattice

Semisimple algebra

Semisimple Lie algebra

Semisimple module

Separable extension

Series-parallel graph

Sesquilinear form

Seven Bridges of Königsberg

Sign (mathematics)

Simple extension

Simple Lie group

Singly and doubly even

Singular value decomposition

Skew-symmetric graph

Skew-symmetric matrix

Skewes's number

Special linear group

Special unitary group

Spectral graph theory

Spectral sequence

Spectrum of a matrix

Spin representation

Split-complex number

Split-quaternion

Splitting field

Square (algebra)

Square root of 2

Square root of a matrix

Square-free integer

Stable polynomial

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

Subdirect product

Subdirectly irreducible algebra

Subgroup series

Substitution (algebra)

Super vector space

Supercommutative algebra

Supergroup (physics)

Superpermutation

Symbolic method (combinatorics)

Symmetric algebra

Symmetric bilinear form

Symmetric function

Symmetric graph

Symmetric group

Symmetric matrix

Symmetric polynomial

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

Tensor contraction

Tensor product of representations

Tensor rank decomposition

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)

Transcendence degree

Transcendental number

Transcendental number theory

Transformation matrix

Transformation semigroup

Transitive reduction

Transpose of a linear map

Transversal (combinatorics)

Tree (graph theory)

Tree decomposition

Triangle-free graph

Triangular matrix

Triangular number

Trivial representation

Tutte polynomial

Unary operation

Underdetermined system

Uniform matroid

Unimodular lattice

Unique factorization domain

Unit (ring theory)

Unit distance graph

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

Vertex (graph theory)

Vertex-transitive graph

Von Mangoldt function

Wagner's theorem

Waring's problem

Weight (representation theory)

Weil conjectures

Weyl character formula

Word (group theory)

Zero of a function

Zig-zag product

Retrieved from "https://en.wikipedia.org/w/index.php?title=User:Zarzuelazen/Books/Reality_Theory:_Algebra%26Number_Theory&oldid=1045448813"

User namespace book pages