[sets and number] please explain it using simple words and step by step, thanks :) Exercise 8.7. Let o:Z/nZ → Z/mZ be a homomorphism. Show that is completelydetermined by ([1]n).

Suppose we have a homomorphism φ: ℤ/nℤ → ℤ/mℤ, and let [1]n ∈ ℤ/nℤ be an element in the residue…

Answered: Exercise 8.7. Let o: Z/nZ → Z/mZ be a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.2: Ring Homomorphisms

Problem 6E

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Exercise 8.7. Let o: Z/nZ → Z/mZ be a homomorphism. Show that is completely determined by o([1]n).