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Algebra

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Unit 3

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Set (mathematics)
Binary relation
Closure (mathematics)
Partition of a set
Equivalence relation
Prime number
History of group theory
Group (mathematics)
Examples of groups
List of small groups
P-group
Symmetric group
Cauchy's theorem (group theory)
Cyclic group
Abelian group
Multiplicative group of integers modulo n
Non-abelian group
Finitely generated group
Subgroup
Order (group theory)
Dihedral group of order 6
Alternating group
Permutation group
Prime power
Quotient group
Finite group
Nilpotent group
Center (group theory)
Normal subgroup
Simple group
Lagrange's theorem (group theory)
Group action
Sylow theorems
Classification of finite simple groups
Modular arithmetic
Finitely generated abelian group
Dihedral group
Cayley's theorem
Homomorphism
Group homomorphism
Fundamental theorem on homomorphisms
Isomorphism theorems
Elementary abelian group
Ring (mathematics)
Boolean ring
Commutative ring
Division ring
Ideal (ring theory)
Integral domain
Integrally closed domain
GCD domain
Unique factorization domain
Principal ideal domain
Euclidean domain
Field (mathematics)
Finite field
Field extension
Galois theory
Splitting field
Characteristic (algebra)
Vector space
Linear independence
Basis (linear algebra)
Linear subspace
Quotient space (linear algebra)
Dimension (vector space)
Examples of vector spaces
Linear algebra
Matrix (mathematics)
Linear map
Transformation matrix
Rank–nullity theorem
Fundamental theorem of linear algebra
Change of basis
Dual space
Transpose
Trace (linear algebra)
Eigenvalues and eigenvectors
Characteristic root (disambiguation)
Characteristic equation (calculus)
Cayley–Hamilton theorem
Characteristic polynomial
Invariant subspace
Canonical form
Triangular matrix
Jordan normal form
Frobenius normal form