Let K be a normal extension of a field F and L is an intermediate field so that F⊂L⊂K, then K is also a normal extension of L.
Let K be a normal extension of a field F and L is an intermediate field so that F⊂L⊂K, then K is also a normal extension of L.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 16E
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Let K be a normal extension of a field F and
L is an intermediate field so that F⊂L⊂K,
then K is also a normal extension of L.
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