separable degree

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separable degree [′sep·rə·bəl di′grē]

(mathematics)

LetEbe an algebraic extension of a fieldF, and let ƒ be any embedding ofFin a fieldLsuch thatLis the algebraic closure of the image ofFunder ƒ; the separable degree ofEoverFis the number of distinct embeddings ofEinLwhich are extensions of ƒ.

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