Category:Abstract algebra

A

• ► Algebraic combinatorics‎ (1 C, 40 P)
• ► Algebraic geometry‎ (14 C, 244 P)
• ► Algebraic logic‎ (19 P)
• ► Algebraic number theory‎ (4 C, 117 P)
• ► Algebraic structures‎ (4 C, 38 P)
• ► Algebraic topology‎ (13 C, 206 P)

B

• ► Binary operations‎ (2 C, 81 P)
• ► Boolean algebra‎ (2 C, 77 P)

C

• ► Commutative algebra‎ (2 C, 114 P)

D

• ► Diagram algebras‎ (11 P)

D cont.

• ► Differential algebra‎ (20 P)

F

• ► Field theory‎ (5 C, 89 P)

G

• ► Galois theory‎ (31 P)
• ► Group theory‎ (27 C, 262 P)

H

• ► Homological algebra‎ (6 C, 94 P)
• ► Hypercomplex numbers‎ (2 C, 11 P)

I

• ► Isomorphism theorems‎ (9 P)

L

• ► Lattice theory‎ (3 C, 37 P)

M

• ► Morphisms‎ (2 C, 18 P)

P

• ► Process calculi‎ (16 P)

R

• ► Relational algebra‎ (9 P)
• ► Representation theory‎ (8 C, 124 P)
• ► Ring theory‎ (5 C, 174 P)

S

• ► Semigroup theory‎ (1 C, 63 P)

T

• ► Ternary operations‎ (5 P)
• ► Topological algebra‎ (3 C, 5 P)

U

• ► Universal algebra‎ (30 P)

Μ

• ► Abstract algebra stubs‎ (160 P)

• Abstract algebra
• List of abstract algebra topics

A

• Absolute value (algebra)
• Absolutely convex set
• Absorption law
• Proofs involving the addition of natural numbers
• Additive identity
• Additive inverse
• Affine Hecke algebra
• Algebraic element
• Algebraic independence
• Algebraic K-theory
• Algebraic number
• Algebraic number field
• Algebraic structure
• Algebraic topology
• Algebraically closed field
• Algebraically compact module
• Alternativity
• Anticommutativity
• Antihomomorphism
• Antiisomorphism
• Arity
• Artinian ideal
• Associative property
• A∞-operad

B

• Balanced module
• Band (mathematics)
• BCK algebra
• Bifundamental representation
• Binary function
• Binary operation
• Biquandle

C

• C-semiring
• Cancellative semigroup
• Canonical basis
• Casus irreducibilis
• Cauchy sequence
• Center (algebra)
• Centralizer and normalizer
• Closed linear span
• Closure with a twist
• Coimage
• Cokernel
• Commutative property
• Commutator
• Complement (set theory)
• Completely regular semigroup
• Composition ring
• Concatenation (mathematics)
• Conditional event algebra
• Countably generated module
• Cover (algebra)
• Cross product
• Cycle graph (algebra)
• Cyclic permutation

D

• Dense submodule
• Derivative algebra (abstract algebra)
• Difference algebra
• Differential graded algebra
• Dimension
• Dimension theorem for vector spaces
• Direct limit
• Direct product
• Direct sum
• Distributive property
• Double affine Hecke algebra

D cont.

• Double centralizer theorem
• Double groupoid
• Dual basis in a field extension

E

• Eigenvalues and eigenvectors
• Embedding
• Esquisse d'un Programme
• Essential extension
• Euclidean vector
• Expression (mathematics)
• External (mathematics)
• E∞-operad

F

• Formal derivative
• Formal power series
• Free object
• Fundamental theorem of algebra
• Fundamental theorem on homomorphisms

G

• Garside element
• General linear group
• Generating set
• Goddard–Thorn theorem
• Goodman–Nguyen–van Fraassen algebra
• Grothendieck group
• Group (mathematics)
• Group extension
• Groupoid

H

• Harmonic polynomial
• Heap (mathematics)
• Hidden algebra
• Seifert–van Kampen theorem
• Higher-dimensional algebra
• Hilbert–Poincaré series
• Homological algebra
• Homomorphic secret sharing
• Hopkins–Levitzki theorem
• Hyperstructure

I

• Icosian Calculus
• Idealizer
• Idempotence
• Identity element
• Identity matrix
• Infinite expression (mathematics)
• Information algebra
• Interior algebra
• Intersection (set theory)
• Inverse element
• Inverse limit
• Inverse semigroup
• Involution (mathematics)
• Irreducible polynomial
• Isomorphism
• Isomorphism class
• Iterated binary operation
• Iwahori–Hecke algebra

K

• Kasch ring
• Kernel (set theory)

L

• Latimer-MacDuffee theorem
• Lattice theorem
• Light's associativity test
• Linear combination
• Linear independence
• Linear map
• Linear span
• List of group theory topics

M

• Magma (algebra)
• Matrix (mathematics)
• Matrix ring
• Maximal common divisor

M cont.

• Minimal ideal
• Module (mathematics)
• Monogenic semigroup
• Monoid
• Monus
• Multiplicative group
• Multiplicative inverse

N

• Near-field (mathematics)
• Near-semiring
• Nearring
• Emmy Noether bibliography
• Normal basis
• Nowhere commutative semigroup

O

• Operad theory
• Operation (mathematics)
• Order of operations
• Ordered exponential
• Orthogonality
• Outline of algebraic structures

P

• Permutation
• Planar ternary ring
• Poincaré space
• Pointed set
• Polarization identity
• Polarization of an algebraic form
• Polynomial
• Polynomial expression
• Polynomials on vector spaces
• Power set
• Predual
• Principle of distributivity
• Problems in loop theory and quasigroup theory
• Pseudogroup

Q

• Quotient module

R

• Racks and quandles
• Radical polynomial
• Restriction of scalars
• Pseudo-ring
• Row and column spaces
• Rupture field

S

• Scalar (mathematics)
• Scalar multiplication
• Self-adjoint
• Semifield
• Semigroup with two elements
• Semigroupoid
• Semiprimitive ring
• Semiring
• Sequential dynamical system
• Setoid
• Simple (abstract algebra)
• Singular submodule
• Skew-Hermitian
• Special classes of semigroups
• Special linear group
• Subquotient
• Supercommutative algebra
• Symmetric inverse semigroup

T

• Tensor product
• Tower of fields
• Transpose
• Trivial semigroup

U

• Union (set theory)
• Unique factorization domain
• Unit ring
• Unital algebra