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单词 Purely inseparable extension
释义

Purely inseparable extension

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Purely inseparable extension

In algebra, a purely inseparable extension of fields is an extension k  K of fields of characteristic p > 0 such that every element of K is a root of an equation of the form x = a, with q a power of p and a in k. Purely inseparable extensions are sometimes called radicial extensions, which should not be confused with the similar-sounding but more general notion of radical extensions.

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更新时间:2025/6/19 18:38:35