3
$\begingroup$

If a prime with prime norm is a split prime , in an number ring PID?

Example: $5-\sqrt{14}$ in $\mathbb{Z}[\sqrt{14}]$ has norm $11$, it is a split prime in $\mathbb{Z}[\sqrt{14}]$? Why?

Thanks

  • 2
    Could you clarify your question? It isn't very clear to me what you're asking. Are you asking why certain primes split in quadratic fields? Or do you want to deduce something about the class number from this information...?2011-09-18
  • 3
    Also there is no need to write so many ?s.2011-09-18

1 Answers 1