Let r be the set of Gaussian integers (complex numbers of the form m + ni...

  

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Let r be the set of Gaussian integers (complex numbers of the form m + ni where m and n are integers). Show that I is a Ring with respect to the usual addition and multiplication of complex numbers (you need not verify explicitly standard properties of complex numbers) question b: Consider the Ring from above Question. Determine which elements of T have a multiplicative inverse. Let r be the set of Gaussian integers (complex numbers of the form m + ni where m and n are integers). Show that I is a Ring with respect to the usual addition and multiplication of complex numbers (you need not verify explicitly standard properties of complex numbers) question b: Consider the Ring from above Question. Determine which elements of T have a multiplicative inverse.