Quadratic field/Related Articles

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A list of Citizendium articles, and planned articles, about 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]