Last Updated
：2025/12/04
perfect field
（ plural ）
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(algebra, field theory) A field K such that every irreducible polynomial over K has distinct roots.
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perfect field
When studying separable extensions, it's useful to know whether a given perfect field admits any nontrivial purely inseparable extensions.
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When studying separable extensions, it's useful to know whether a given perfect field admits any nontrivial purely inseparable extensions.
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