Question: Problem 1 0 . Consider the following map between Gaussian integers and Z 2 : : Z [ i ] Z 2 , ( a

Problem 10. Consider the following map between Gaussian integers and Z2 :
:Z[i]Z2,(a+bi)=a+bmod2.
Explain why is this a ring homormorphism and show that the kernel is the ideal I generated by 1+i,I=(1+i). Conclude that I is a maximal ideal.
Problem 10. Consider the following map between Gaussian integers and Z2

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