Let E be a finite extension of F. Show that {E : F} ≤ [E : F].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 36E
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Let E be a finite extension of F. Show that
{E : F} ≤ [E : F].
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