Purely Inseparable Extension

An algebraic extension over a field is a purely inseparable extension if the algebraic number minimal polynomial of any element has only one root, possibly with multiplicity.

See also

Extension Field, Field, Galois Theory, Perfect Field, Separable Extension

This entry contributed by Todd Rowland

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Rowland, Todd. "Purely Inseparable Extension." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PurelyInseparableExtension.html

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