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The 29 pages that link to Algebraic number, each with the reason it gives.

• Rational numberNarrower topic: Every rational number is algebraic, but many algebraic numbers are irrational.

• Irrational numberRelated: Irrational numbers divide into algebraic numbers and transcendental numbers.

• Richard DedekindRelated: His theory of ideals grew from studying arithmetic among algebraic numbers.

• Countable setBroader topic: Integer polynomials can be enumerated, making their roots countable.

• PiCompared with: Pi is transcendental, so it lies outside this broad class of numbers.

• Root of unityNarrower topic: Roots of unity are algebraic numbers with the special property of finite multiplicative order.

• Transcendental numberCompared with: Transcendental numbers are precisely the numbers outside this class.

• Minimal polynomialBroader topic: Its minimal polynomial over the rationals captures its defining arithmetic relation.

• Polynomial factorizationRelated: Factorization over the rationals helps identify polynomial equations defining algebraic numbers.

• Polynomial rootNarrower topic: Every polynomial root over the rationals belongs to this broader class of numbers.

• Lindemann–Weierstrass theoremNarrower topic: The theorem's inputs are distinct algebraic numbers, and its coefficients come from this same field.

• Joseph LiouvilleCompared with: The approximation bound distinguishes algebraic irrational numbers from the numbers Liouville constructed.

• Charles HermiteCompared with: Hermite’s proof distinguishes e from every number in this broader class.

• Constructible numberNarrower topic: Every constructible number is algebraic, but algebraicity alone does not guarantee constructibility.

• Rational root theoremNarrower topic: Rational numbers are algebraic, but most algebraic roots are not covered by this test.

• Algebraic integerCompared with: Some algebraic numbers, such as 1/2, are not algebraic integers.

• 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.

• Transcendence theoryCompared with: Transcendence is defined by exclusion from this class.

• Algebraic functionRelated: At a rational input, a defined algebraic function value is an algebraic number.

• Gelfond–Schneider theoremNarrower topic: The theorem’s base and exponent must both be algebraic numbers.

• Number (mathematics)Compared with: Algebraic numbers contrast with transcendental numbers and include all rational numbers.

• Sturm's theoremRelated: A real algebraic number can be specified by a polynomial together with an isolating interval certified by root counts.

• Four exponentials conjectureCompared with: The conclusion rules out all four exponentials being algebraic.

• Littlewood conjectureNarrower topic: The conjecture remains unresolved even for broad classes of algebraic pairs outside known cases.

• Belyi's theoremNarrower topic: The theorem identifies definability over the algebraic numbers as the arithmetic side of its criterion.

• 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.