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Algebra

Abelian group
Commutative group (mathematics)
Abstract algebra
Branch of mathematics
Affine space
Geometric structure that generalizes the Euclidean space
Algebra
Branch of mathematics
Algebra over a field
Vector space equipped with a bilinear product
Algebraic equation
Equation of the form of equality of two polynomials
Algebraic expression
Mathematical expression built up from integer constants, variables, and the algebraic operations
Algebraic geometry
Branch of mathematics
Algebraic topology
Branch of mathematics
Algebraic variety
Mathematical object studied in the field of algebraic geometry
Associative property
Property allowing removing parentheses in a sequence of operations
Banach space
Normed vector space that is complete
Binomial theorem
Algebraic expansion of powers of a binomial
Cauchy–Schwarz inequality
Mathematical inequality relating inner products and norms
Classification of finite simple groups
Theorem classifying finite simple groups
Commutative algebra
Branch of algebra that studies commutative rings
Commutative property
Property allowing changing the order of the operands of an operation
Commutative ring
Algebraic structure
Cramer's rule
Formula for systems of linear equations
Cross product
Mathematical operation on two vectors in three-dimensional space
Determinant
In mathematics, invariant of square matrices and endomorphisms
Distributive property
Property involving two mathematical operations
Dot product
Algebraic operation returning a single number from two equal-length sequences
Eigenvalues and eigenvectors
Vectors that map to their scalar multiples, and the associated scalars
Elementary algebra
Basic concepts of algebra
Equality (mathematics)
Relationship asserting that two quantities are the same
Euclidean vector
Geometric object that has length and direction
Exterior algebra
Algebraic construction used in multilinear algebra and geometry
Field (mathematics)
Algebraic structure with addition, multiplication, and division
Field extension
Construction of a larger algebraic field by "adding elements" to a smaller field
Finite field
Algebraic structure
Fundamental group
Mathematical group of the homotopy classes of loops in a topological space
Fundamental theorem of algebra
Every polynomial has a real or complex root
Galois group
Mathematical group
Galois theory
Mathematical connection between field theory and group theory
Gaussian elimination
Algorithm for solving systems of linear equations
Gauss–Seidel method
Iterative method used to solve a linear system of equations
Group (mathematics)
Set with associative invertible operation
Group representation
Group homomorphism into the general linear group over a vector space
Group theory
Branch of mathematics that studies the properties of groups
Hölder's inequality
Inequality between integrals in Lp spaces
Homological algebra
Branch of mathematics
Inequality (mathematics)
Mathematical relation expressed by symbols < or ≤
Inner product space
Generalization of the dot product; used to defined Hilbert spaces
Isomorphism
In mathematics, invertible homomorphism
Jacobi method
Iterative method used to solve a linear system of equations
Jensen's inequality
Theorem of convex functions
Linear algebra
Branch of mathematics
Linear equation
Equation that does not involve powers or products of variables
Linear map
Mapping that preserves the operations of addition and scalar multiplication
LU decomposition
Matrix decomposition
Magnitude (mathematics)
Mathematical concept related to comparison and ordering
Matrix (mathematics)
Array of numbers
Matrix addition
Notions of sums for matrices in linear algebra
Matrix multiplication
Mathematical operation in linear algebra
Modular group
Orientation-preserving mapping class group of the torus
Module (mathematics)
Generalization of vector space, with scalars in a ring instead of a field
Moduli space
A geometric space whose points represent algebro-geometric objects of some fixed kind
Multiplicative inverse
Number which when multiplied by x equals 1
Normal subgroup
Subgroup invariant under conjugation
Polynomial ring
Algebraic structure
Quadratic equation
Polynomial equation of degree two
Quadratic formula
Formula that provides the solutions to a quadratic equation
Quantum cohomology
Cohomology associated to a symplectic manifold, whose cup product is given by Gromov–Witten invariants
Rank (linear algebra)
The dimension of vector space generated by the columns of a matrix
Representation theory
Branch of mathematics that studies abstract algebraic structures
Resultant
Mathematical concept in polynomial theory
Ring (mathematics)
Algebraic structure with addition and multiplication
Ring theory
Branch of algebra
Sheaf (mathematics)
Tool to track locally defined data attached to the open sets of a topological space
Successive over-relaxation
Method of solving a linear system of equations
System of linear equations
Collection of linear equations involving the same set of variables
Transpose
Matrix operation which flips a matrix over its diagonal
Vector space
Algebraic structure in linear algebra