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单词 Separable algebraic extension
释义

Separable algebraic extension

英语百科

Separable extension

In the subfield of algebra named field theory, a separable extension is an algebraic field extension E\supset F such that for every \alpha\in E, the minimal polynomial of \alpha over F is a separable polynomial (i.e., has distinct roots; see below for the definition in this context). Otherwise, the extension is called inseparable. There are other equivalent definitions of the notion of a separable algebraic extension, and these are outlined later in the article.

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