Let K be any field extension of a field F and let an element a of K be algebraic over F.Then for any F – automorphismover F.o of K o(a) is a conjugate of a

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Answered: Let K be any field extension of a field…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.3: The Field Of Quotients Of An Integral Domain

Problem 12E

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Let K be any field extension of a field F and let an element a of K be algebraic over F. o of K o(a) is a conjugate of a Then for any F – automorphism over F