In the domain of Gaussian integersZ[i), the element 19 is *O ReducibleO UnitIrreducible

Answer is irreducible. Proof is given below.

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In the domain of Gaussian integers Zli), the element 19 is * O Reducible O Unit Irreducible

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 16E: Prove that if a subring R of an integral domain D contains the unity element of D, then R is an...

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In the domain of Gaussian integers
Z[i), the element 19 is *
O Reducible
O Unit
Irreducible

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