KnowraAlgebraic numberLinked fromLinked fromThe 29 pages that link to Algebraic number, each with the reason it gives.All 29Broader topic 2Related 10Narrower topic 9Compared with 8Irrational numberRelated: Irrational numbers divide into algebraic numbers and transcendental numbers.Richard DedekindRelated: His theory of ideals grew from studying arithmetic among algebraic numbers.Polynomial factorizationRelated: Factorization over the rationals helps identify polynomial equations defining algebraic numbers.Algebraically closed fieldRelated: Together they form an algebraically closed field, despite being countable.Solvability by radicalsRelated: Polynomial roots over the rationals are algebraic numbers, whether or not radicals express them.Algebraic number fieldRelated: Every element of a number field is algebraic over the rationals.Algebraic functionRelated: At a rational input, a defined algebraic function value is an algebraic number.Sturm's theoremRelated: A real algebraic number can be specified by a polynomial together with an isolating interval certified by root counts.Mathematical constantRelated: Algebraic constants are characterized by polynomial equations, unlike transcendental constants.Deligne conjecture (critical L-values)Related: The conjecture predicts algebraicity after dividing by its prescribed transcendental factors.