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- Algebraic_independence abstract "In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non-trivial polynomial equation with coefficients in K. In particular, a one element set {α} is algebraically independent over K if and only if α is transcendental over K. In general, all the elements of an algebraically independent set S over K are by necessity transcendental over K, and over all of the field extensions over K generated by the remaining elements of S.".
- Algebraic_independence wikiPageID "287808".
- Algebraic_independence wikiPageRevisionID "561258880".
- Algebraic_independence author "Chen, Johnny".
- Algebraic_independence hasPhotoCollection Algebraic_independence.
- Algebraic_independence title "Algebraically Independent".
- Algebraic_independence urlname "AlgebraicallyIndependent".
- Algebraic_independence subject Category:Abstract_algebra.
- Algebraic_independence subject Category:Matroid_theory.
- Algebraic_independence comment "In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non-trivial polynomial equation with coefficients in K. In particular, a one element set {α} is algebraically independent over K if and only if α is transcendental over K.".
- Algebraic_independence label "Algebraic independence".
- Algebraic_independence label "Algebraische Unabhängigkeit".
- Algebraic_independence label "Algebraïsche onafhankelijkheid".
- Algebraic_independence label "Independencia algebraica".
- Algebraic_independence label "Independência algébrica".
- Algebraic_independence label "Indipendenza algebrica".
- Algebraic_independence label "Indépendance algébrique".
- Algebraic_independence label "Алгебраическая независимость".
- Algebraic_independence label "استقلال جبري".
- Algebraic_independence label "代數獨立".
- Algebraic_independence sameAs Algebraická_nezávislost.
- Algebraic_independence sameAs Algebraische_Unabhängigkeit.
- Algebraic_independence sameAs Independencia_algebraica.
- Algebraic_independence sameAs Indépendance_algébrique.
- Algebraic_independence sameAs Indipendenza_algebrica.
- Algebraic_independence sameAs Algebraïsche_onafhankelijkheid.
- Algebraic_independence sameAs Independência_algébrica.
- Algebraic_independence sameAs m.01q7rk.
- Algebraic_independence sameAs Q1495342.
- Algebraic_independence sameAs Q1495342.
- Algebraic_independence wasDerivedFrom Algebraic_independence?oldid=561258880.
- Algebraic_independence isPrimaryTopicOf Algebraic_independence.