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Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and zero mappings.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 24E: Prove that if a is a unit in a ring R with unity, then a is not a zero divisor.

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