separable degree

separable degree

[′sep·rə·bəl di′grē]
(mathematics)
Let E be an algebraic extension of a field F, and let ƒ be any embedding of F in a field L such that L is the algebraic closure of the image of F under ƒ; the separable degree of E over F is the number of distinct embeddings of E in L which are extensions of ƒ.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.