Which of the following is isomorphism? f:(Z, +) → (Z, +) where f(x) = 2x. this option f: (R, +) → (R*, .) where f(x) = 2* this option f: (R, .) R where fl) = Inx

Which of the following is isomorphism? f:(Z, +) → (Z, +) where f(x) = 2x. this option f: (R, +) → (R, .) where f(x) = 2 this option f: (R, .) R where fl) = Inx

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...

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Question

Which of the following is isomorphism?
f:(Z, +) → (Z, +) where f(x) = 2x.
this option
f: (R, +) → (R*, .) where f(x) = 2*
this option
f: (R, .) R Lwhere flx = Inx

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