2
$\begingroup$

Let $n \in \mathbb Z$. In the ring of integers, the ideal $(n, 2n+1)$ is principal. (i.e. $(n, 2n+1) = (d)$ for some integer $d$. What are the possible values for $d$? Prove your solution.

  • 6
    $(2n,2n+1)=1\implies (n,2n+1)=1$2012-09-22

3 Answers 3