Quadratic field/Related Articles

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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]