Algebra (from the Arabic "al-djebr" meaning "reunion", "connection" or "completion") is a branch of mathematics which may be defined as a generalization and extension of arithmetic.

Subcategories

There are 9 subcategories to this category.

Abstract algebra Algebraic topology B Boolean algebra

C Computer algebra E Elementary algebra Equations H Homological algebra

I Identities P Polynomials

Articles in category "Algebra"

There are 107 articles in this category.

(0,1)-matrix A Abel-Ruffini theorem Abelian group Algebra Algebra homomorphism Algebra over a field Algebraic element Algebraic extension Algebraic function Algebraic number Algorithm Anyonic Lie algebra Associative algebra Associativity Automorphism Axiom B Basis (linear algebra) Binary operation Binomial Binomial theorem Buchberger's algorithm C Canonical form Cayley's theorem Closed-form solution Commutative operation Commutator Complete lattice Completing the square Congruence relation Cross product D Degree (mathematics) Determinant Difference of two squares Digital root Dimension

D cont. Distributive lattice Distributivity Dot product Dual space E Eigenvector Elementary algebra Empty set Endomorphism Even and odd permutations Expression (mathematics) F Factorization Filtration (abstract algebra) Flasque sheaf G Group action I Identity (mathematics) Identity element Indeterminate (variable) Intersection (set theory) Inverse element Irreducible polynomial Isomorphism K K-theory Kernel (algebra) Kernel of a function L Latin square Lattice (order) Linear algebra Linear combination Linear independence Linear span Linear transformation M Matrix (mathematics) Monomial Monomial basis Multinomial theorem Multiplicative inverse

O Operator Order of operations Ordered field Orthogonality P P-adic analysis Pairing Partial fraction Perfect square Permutation Polynomial Power set Predual Projection-valued measure Pseudoinverse R Rank (linear algebra) Ratio Rational function Rational root theorem Recurrence relation Ring theory Row and column spaces S Scalar Sheaf Spectrum of a ring Square (algebra) Symbolic method of invariant theory Symmetric difference System of linear equations T Theory of equations Topological module Transformation semigroup Transpose U Union (set theory) Unital V Variable Vector (spatial)