Category:Abstract algebra

A

• [+] Algebraic combinatorics (29 P)
• [+] Algebraic geometry (13 C, 192 P)
• [+] Algebraic logic (16 P)
• [+] Algebraic number theory (4 C, 101 P)
• [+] Algebraic structures (4 C, 32 P)
• [+] Algebraic topology (13 C, 175 P)

B

• [+] Binary operations (2 C, 80 P)
• [+] Boolean algebra (1 C, 75 P)

C

• [+] Commutative algebra (1 C, 95 P)

D

• [+] Diagram algebras (10 P)
• [+] Differential algebra (16 P)

F

• [+] Field theory (5 C, 78 P)

G

• [+] Galois theory (26 P)
• [+] Group theory (24 C, 252 P)

H

• [+] Homological algebra (6 C, 86 P)
• [+] Hypercomplex numbers (2 C, 13 P)

I

• [+] Isomorphism theorems (9 P)

L

• [+] Lattice theory (2 C, 28 P)

L cont.

• [+] Localization (mathematics) (10 P)

M

• [+] Morphisms (2 C, 18 P)

P

• [+] Process calculi (16 P)

R

• [+] Relational algebra (9 P)
• [+] Representation theory (6 C, 65 P)
• [+] Ring theory (5 C, 139 P)

S

• [+] Semigroup theory (1 C, 57 P)

T

• [+] Ternary operations (5 P)

• List of abstract algebra topics
• Abstract algebra

A

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

B

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

C

• C-semiring
• Cancellative semigroup
• Canonical basis
• Casus irreducibilis
• Cauchy sequence
• Center (algebra)
• Chief series
• Closure with a twist
• Coimage
• Cokernel
• Commutativity
• Commutator
• Complement (set theory)
• Completely regular semigroup
• Composition ring
• Concatenation (mathematics)
• Conditional event algebra
• Cross product
• Cycle graph (algebra)
• Cyclic permutation

D

• Derivative algebra (abstract algebra)
• Difference algebra
• Differential graded algebra
• Dimension
• Dimension theorem for vector spaces
• Direct limit
• Direct product

D cont.

• Distributivity
• Dual basis in a field extension

E

• Eigenvalue, eigenvector and eigenspace
• Embedding
• Esquisse d'un Programme
• Euclidean vector
• Expression (mathematics)
• External (mathematics)
• E∞-operad

F

• Formal power series
• Formal derivative
• 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)
• Hecke algebra
• Seifert–van Kampen theorem
• Higher-dimensional algebra
• Hilbert–Poincaré series
• Homological algebra
• Homomorphic secret sharing
• Hyperstructure

I

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

K

• Kernel (set theory)

L

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

M

• Magma (algebra)

M cont.

• Matrix (mathematics)
• Matrix ring
• Maximal common divisor
• Module (mathematics)
• Monogenic semigroup
• Monoid
• Monus
• Multiplicative group
• Multiplicative inverse

N

• Near-field (mathematics)
• Near-semiring
• Nearring
• List of publications by Emmy Noether
• Noncommutative polynomial
• Normal basis
• Nowhere commutative semigroup

O

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

P

• Permutation
• Planar ternary ring
• Pointed set
• Polarization of an algebraic form
• Polarization identity
• 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)
• Special classes of semigroups
• Special linear group
• Subquotient
• Supercommutative algebra

T

• User:Taeshadow/Page for drafts/Homomorphic electronic voting
• Tensor product