Solved] This question is from Number Theory. For a Gaussian integer G, Show that is a unit if and only if N() = 1. | Course Hero
![abstract algebra - Let $R$ be a ring. Define a circle composition ◦ in R by $a ◦ b =a+b-ab$, $a, b ∈ R$. - Mathematics Stack Exchange abstract algebra - Let $R$ be a ring. Define a circle composition ◦ in R by $a ◦ b =a+b-ab$, $a, b ∈ R$. - Mathematics Stack Exchange](https://i.stack.imgur.com/J4hBx.png)
abstract algebra - Let $R$ be a ring. Define a circle composition ◦ in R by $a ◦ b =a+b-ab$, $a, b ∈ R$. - Mathematics Stack Exchange
![SOLVED:For 2 2, let Gq be the group of invertible elements in the ring Z/qz Each Gy gives rise to function on 2 defined by e([n]) if gcd(n.4) = 1; x(n) if SOLVED:For 2 2, let Gq be the group of invertible elements in the ring Z/qz Each Gy gives rise to function on 2 defined by e([n]) if gcd(n.4) = 1; x(n) if](https://cdn.numerade.com/ask_images/0998904a0add4739a19a1f865b042a61.jpg)
SOLVED:For 2 2, let Gq be the group of invertible elements in the ring Z/qz Each Gy gives rise to function on 2 defined by e([n]) if gcd(n.4) = 1; x(n) if
![SOLVED:Problem 1_ (2Apts) In each of the following questions answer TRUE o FALSE (You don 't need to justify your answer . Every nOn-zero element in Zzz is unit. B) The ring SOLVED:Problem 1_ (2Apts) In each of the following questions answer TRUE o FALSE (You don 't need to justify your answer . Every nOn-zero element in Zzz is unit. B) The ring](https://cdn.numerade.com/ask_images/6b6cd92e1c364e55acaa672a67c2a0e2.jpg)