Category:Abstract algebra

From Freepedia

Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. The term "abstract algebra" is used to distinguish the field from "elementary algebra" or "high school algebra" which teaches the correct rules for manipulating formulas and algebraic expressions involving real and complex numbers.

Related Categories

• Algebraic geometry

Subcategories

There are 11 subcategories to this category.

A Algebraic number theory Algebraic topology C Commutative algebra

C cont. Computer algebra D Differential algebra G Group theory H Homological algebra

L Linear algebra R Ring theory S Semigroup theory U Universal algebra

Articles in category "Abstract algebra"

There are 169 articles in this category.

* Abstract algebra A Abelian group Absorption law Additive group Additive inverse Algebra representation of a Lie superalgebra Algebraic K-theory Algebraic extension Algebraic number Algebraic number field Algebraic structure Algebraic topology Algebraically closed field Algebraically compact module Algebraically independent Alternativity Anticommutativity Antihomomorphism Arity Artinian Associativity Associator Automorphism B Bialgebra Bicomplex number Bifundamental representation Binary function Binary operation Biproduct C C-semiring Canonical basis Cayley's theorem Cayley-Dickson construction Center (algebra) Coalgebra Coimage Cokernel Commutative operation Commutator Coquaternion Cross product Crystal (mathematics) Cwatset Cycle graph (group) Cyclic permutation D Derivative algebra (abstract algebra) Determinant Dimension Dimension theorem for vector spaces Direct limit Direct product Distributivity Dual basis in a field extension E Embedding Endomorphism Epimorphism

E cont. Equaliser Euclidean domain Expression (mathematics) Extension (algebra) F Formal power series Free algebra Free object Frobenius algebra Fundamental theorem of algebra Fundamental theorem on homomorphisms G General linear group Generating set Goddard-Thorn theorem Graded algebra Grothendieck group Group (mathematics) Group action Group theory Groupoid H Homological algebra Homomorphism Hopf algebra Hyperbolic-orthogonal Hyperstructure I Idempotent Identity element Identity matrix Integral closure Interior algebra Intersection (set theory) Inverse element Inverse limit Involution Irreducible polynomial Isomorphism Isomorphism class K Kernel of a function Killing spinor L Linear combination Linear independence Linear span Linear transformation List of Boolean algebra topics List of abstract algebra topics List of group theory topics Locally cyclic group M Matrix (mathematics) Matrix ring Monadic Boolean algebra Monoid Monomorphism Multiplicative group Multiplicative inverse N Nearring Noetherian Normal basis Normal extension

O Order of operations Ordered exponential Ordered group Ordered ring Orthogonality P Pairing Permutation Permutation group Pointed set Poisson algebra Poisson superalgebra Polynomial Power set Predual Principle of distributivity Pseudogroup Pseudoscalar Q Quandle (knot theory) Quillen–Suslin theorem Quotient module R Representation of a Hopf algebra Restricted representation Ring theory Row and column spaces S Scalar Scalar multiplication Self-adjoint Semigroup Semigroupoid Semiprimitive ring Semiring Simple algebra Skolem hull Solvable Split-complex number Star-algebra Subfield (mathematics) Subquotient Subring Subsemigroup Supercommutative algebra System of linear equations T Tensor product Transpose U Unary operation Union (set theory) Unique factorization domain Unit ring Unital Universal algebra V Variety (universal algebra) Vector (spatial) Vector space W Wheel theory Z Zero divisor Zero morphism