User:Kpsaamy1983/Books/Algebra
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Algebra
[edit]Unit 3
[edit]- 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