algebraic extension

Math.a field containing a given field such that every element in the first field is algebraic over the given field. Cf. extension field.
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Universalium. 2010.
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Algebraic extension — In abstract algebra, a field extension L / K is called algebraic if every element of L is algebraic over K , i.e. if every element of L is a root of some non zero polynomial with coefficients in K . Field extensions which are not algebraic, i.e.… … Wikipedia
algebraic extension — Math. a field containing a given field such that every element in the first field is algebraic over the given field. Cf. extension field … Useful english dictionary
simple algebraic extension — Math. a simple extension in which the specified element is a root of an algebraic equation in the given field. Cf. simple transcendental extension. * * * … Universalium
simple algebraic extension — Math. a simple extension in which the specified element is a root of an algebraic equation in the given field. Cf. simple transcendental extension … Useful english dictionary
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