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Abstract algebra

Abelian group
Commutative group (mathematics)
Abstract algebra
Branch of mathematics
Algebra over a field
Vector space equipped with a bilinear product
Algebraic topology
Branch of mathematics
Associative property
Property allowing removing parentheses in a sequence of operations
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
Distributive property
Property involving two mathematical operations
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
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
Homological algebra
Branch of mathematics
Isomorphism
In mathematics, invertible homomorphism
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
Multiplicative inverse
Number which when multiplied by x equals 1
Normal subgroup
Subgroup invariant under conjugation
Polynomial ring
Algebraic structure
Representation theory
Branch of mathematics that studies abstract algebraic structures
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