Algebraic extension

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Notion

Domain

Science and technology

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What Wikipedia says

In mathematics, an algebraic extension is a field extension L/K such that every element of the larger field L is algebraic over the smaller field K; that is, every element of L is a root of a non-zero polynomial with coefficients in K. A field extension that is not algebraic, is said to be transcendental, and must contain transcendental elements, that is, elements that are not algebraic.

Excerpt from the Wikipedia article “Algebraic extension”, under the CC BY-SA 4.0 license. Read the article on Wikipedia