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2013-01-02, 09:44   #4
Nick

Dec 2012
The Netherlands

3·587 Posts

Quote:
 Originally Posted by jinydu Thanks. I presume 'rational integer' and 'rational prime' mean 'element of $\mathbb{Q}$' and 'prime in $\mathbb{Q}$' respectively? As opposed to 'element of $\mathbb{O_K}$' and 'prime in $\mathbb{O_K}$'?
Yes (but with $\mathbb{Z}$ instead of $\mathbb{Q}$):
in algebraic number theory, the elements of $\mathbb{Z}$ are called rational integers to distinguish them from algebraic integers, and similarly with primes.