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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-08-22 and was most recently seen on 2026-08-22.
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.
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