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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 12E

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Question

It is a field?

Consider Z[i] = {a+bi: a, b € Z}, the set of Gaussian integers under addition and multiplication of complex numbers
Which of the following elements in Z[/] do not have a multiplicative inverse?

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