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.
Number Theory Ideals
2
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abstract-algebra
number-theory
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6$(2n,2n+1)=1\implies (n,2n+1)=1$ – 2012-09-22