If K be an extension of a field F then the mapping : F[x]-f(a) defined by(h(x)) = h(a) isBoth (A) and (B)O IsomorphismHomomorphismNone of the above

It is given that K be an extension of a field F and ϕ : Fx→fa defined by ϕhx = ha . We have to…

Answered: If K be an extension of a field F then…

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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If K be an extension of a field F then the mapping : F[x]-f(a) defined by (h(x)) = h(a) is Both (A) and (B) Isomorphism Homomorphism O None of the above