Quadratic field/Related Articles

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A list of Citizendium articles, and planned articles, about Quadratic field.
See also changes related to Quadratic field, or pages that link to Quadratic field or to this page or whose text contains "Quadratic field".

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  • Algebraic number field [r]: A field extension of the rational numbers of finite degree; a principal object of study in algebraic number theory. [e]
  • Conductor of a number field [r]: Used in algebraic number theory; a modulus which determines the splitting of prime ideals. [e]
  • Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. [e]
  • Field extension [r]: A field containing a given field as a subfield. [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]
  • Monogenic field [r]: An algebraic number field for which the ring of integers is a polynomial ring. [e]
  • Ordered field [r]: A field with a total order which is compatible with the algebraic operations. [e]
  • Quadratic equation [r]: An equation of the form ax2 + bx + c = 0 where a, b and c are constants. [e]
  • Root of unity [r]: An algebraic quantity some power of which is equal to one. [e]