# Algebra/Related Articles

< Algebra

Jump to navigation
Jump to search
*See also changes related to Algebra, or pages that link to Algebra or to this page or whose text contains "Algebra".*

## Parent topics

## Subtopics

- List of basic algebra topics
- List of mathematics articles
- Fundamental theorem of algebra
- Computer algebra system

## Bot-suggested topics

Auto-populated based on Special:WhatLinksHere/Algebra. Needs checking by a human.

- Absorbing element [r]: An element whose behaviour with respect to an algebraic binary operation is like that of zero with respect to multiplication.
^{[e]} - Absorption (mathematics) [r]: An identity linking a pair of binary operations.
^{[e]} - Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields.
^{[e]} - Algebraic geometry [r]: Discipline of mathematics that studies the geometric properties of the objects defined by algebraic equations.
^{[e]} - Algebraic independence [r]: The property of elements of an extension field which satisfy only the trivial polynomial relation.
^{[e]} - Algebraic number [r]: A complex number that is a root of a polynomial with rational coefficients.
^{[e]} - Associativity [r]: A property of an algebraic operation such as multiplication: a(bc) = (ab)c.
^{[e]} - Automorphism [r]: An isomorphism of an algebraic structure with itself: a permutation of the underlying set which respects all algebraic operations.
^{[e]} - Commutativity [r]: A property of a binary operation (such as addition or multiplication), that the two operands may be interchanged without affecting the result.
^{[e]} - Commutator [r]: A measure of how close two elements of a group are to commuting.
^{[e]} - Completing the square [r]: Rewriting a quadratic polynomial as a constant multiple of a linear polynomial plus a constant.
^{[e]} - Content (algebra) [r]: The highest common factor of the coefficients of a polynomial.
^{[e]} - Continuant (mathematics) [r]: An algebraic expression which has applications in generalized continued fractions and as the determinant of a tridiagonal matrix.
^{[e]} - Cubic equation [r]: A polynomial equation with of degree 3 (i.e.,
*x*^{3}+*px*^{2}+*qx*+r=0).^{[e]} - Cyclotomic polynomial [r]: A polynomial whose roots are primitive roots of unity.
^{[e]} - Derivation (mathematics) [r]: A map defined on a ring which behaves formally like differentiation: D(x.y)=D(x).y+x.D(y).
^{[e]} - Discriminant of a polynomial [r]: An invariant of a polynomial which vanishes if it has a repeated root: the product of the differences between the roots.
^{[e]} - Distributivity [r]: A relation between two binary operations on a set generalising that of multiplication to addition: a(b+c)=ab+ac.
^{[e]} - Division ring [r]: (or skew field), In algebra it is a ring in which every non-zero element is invertible.
^{[e]} - Euclid [r]: (ca. 325 BC - ca. 265 BC) Alexandrian mathematician and known as the father of geometry.
^{[e]} - Field (mathematics) [r]: An algebraic structure with operations generalising the familiar concepts of real number arithmetic.
^{[e]} - Field theory (mathematics) [r]: A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on the familiar concepts of real number arithmetic.
^{[e]} - Frobenius map [r]: The p-th power map considered as acting on commutative algebras or fields of prime characteristic p.
^{[e]} - Fundamental Theorem of Algebra [r]: Any nonconstant polynomial whose coefficients are complex numbers has at least one complex number as a root.
^{[e]} - Galileo Galilei [r]:
*Add brief definition or description* - Gaussian elimination [r]:
*Add brief definition or description* - Geometry [r]:
*Add brief definition or description* - Group theory [r]:
*Add brief definition or description* - Idempotent element [r]:
*Add brief definition or description* - Identity element [r]:
*Add brief definition or description* - Integral domain [r]:
*Add brief definition or description* - International Mathematical Olympiad [r]:
*Add brief definition or description* - Kronecker delta [r]:
*Add brief definition or description* - Krull dimension [r]:
*Add brief definition or description* - Least common multiple [r]:
*Add brief definition or description* - Linear equation [r]:
*Add brief definition or description* - Linear independence [r]:
*Add brief definition or description* - Mathematics [r]:
*Add brief definition or description* - Maxime Bôcher [r]:
*Add brief definition or description* - Measure theory [r]:
*Add brief definition or description* - Modular arithmetic [r]:
*Add brief definition or description* - Monoid [r]:
*Add brief definition or description* - Multiplication [r]:
*Add brief definition or description* - Noetherian module [r]:
*Add brief definition or description* - Noetherian ring [r]:
*Add brief definition or description* - Normal extension [r]:
*Add brief definition or description* - Number theory [r]:
*Add brief definition or description* - Number [r]:
*Add brief definition or description* - Omar Khayyam [r]:
*Add brief definition or description* - Pascal's triangle [r]:
*Add brief definition or description* - Polynomial equation [r]:
*Add brief definition or description* - Polynomial ring [r]:
*Add brief definition or description* - Polynomial [r]:
*Add brief definition or description* - Quadratic equation [r]:
*Add brief definition or description* - Quantity [r]:
*Add brief definition or description* - Quaternions [r]:
*Add brief definition or description* - Resultant (algebra) [r]:
*Add brief definition or description* - Ring (mathematics) [r]:
*Add brief definition or description* - Semigroup [r]:
*Add brief definition or description* - Separability (disambiguation) [r]:
*Add brief definition or description* - Set theory [r]:
*Add brief definition or description* - Sine [r]:
*Add brief definition or description* - Span (mathematics) [r]:
*Add brief definition or description* - Splitting field [r]:
*Add brief definition or description* - Vector (mathematics) [r]:
*Add brief definition or description* - Weierstrass preparation theorem [r]:
*Add brief definition or description*