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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''<sup>''q''</sup> = ''a'', with ''q'' a power of ''p'' and ''a'' in ''k''.
==References==
[[Category:Field theory]]
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