Algebra/Related Articles

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• 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 [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., x³+px²+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