degree of an algebraic number

Let α be an algebraic numberMathworldPlanetmath. The degree of α is the degree ( of the minimal polynomialPlanetmathPlanetmath for α over .

In a manner to polynomialsPlanetmathPlanetmath, the degree of α may be denoted degα.

For example, since x3-2 is the minimal polynomial for 23 over , we have deg23=3.

Title degree of an algebraic number
Canonical name DegreeOfAnAlgebraicNumber
Date of creation 2013-03-22 17:50:05
Last modified on 2013-03-22 17:50:05
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 4
Author Wkbj79 (1863)
Entry type Definition
Classification msc 12E05
Classification msc 12F05
Classification msc 11C08
Classification msc 11R04
Related topic AlgebraicNumber
Related topic Degree8
Related topic MinimalPolynomial
Related topic TheoryOfAlgebraicNumbers