Algebra/Related Articles: Difference between revisions
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==Articles related by keyphrases (Bot populated)== |
Latest revision as of 12:01, 8 July 2024
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- See also changes related to Algebra, or pages that link to Algebra or to this page or whose text contains "Algebra".
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- List of basic algebra topics
- List of mathematics articles
- Fundamental theorem of algebra
- Computer algebra system
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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 (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., 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