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purely essential extension - translation to russian
Purely inseparable field extension; Purely inseparable; Radicial extension; Purely inseparable extensions; Modular extension
purely essential extension
чисто существенное расширение
purely essential extension
математика
чисто существенное расширение
purely inseparable extension
чисто несепарабельное расширение
Wikipedia
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 xq = 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.
