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An extension is regular if and only if it is separable and
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Any extension of an algebraically closed field is regular.
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211:{\displaystyle {\overline {k}}}
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450:{\displaystyle L\otimes _{k}L}
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288:Regularity is transitive: if
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283:Properties
608:A. Weil,
436:⊗
257:¯
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145:separable
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578:(2003).
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67:(i.e.,
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