7. Let u be transcendental over F and F< EC F(u). Show that u is algebraic over E.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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7. Let u be transcendental over F and F < E C F(u). Show that u is algebraic
over E.
Transcribed Image Text:7. Let u be transcendental over F and F < E C F(u). Show that u is algebraic over E.
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