Where in ring theory (outside of number theory) is the notion of a prime element of a ring used?
And how might it be implemented in a general (commutative?) ring? John On 14/12/2007, Mike Hansen <[EMAIL PROTECTED]> wrote: > > > I think that distinguishing between is_prime and is_prime_element > > is very very confusing. And I agree with John Cremona that > > "prime" is not a very useful notation in algebraic number > > theory / commutative algebra for *elements* -- it's a great > > notion for ideals. > > While it may not be terribly useful in those areas, I wouldn't rule it > out for all of ring theory. As someone who doesn't do number theory, > the number theoretic definition of prime feels really weird. > > --Mike > > > > -- John Cremona --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://sage.scipy.org/sage/ and http://modular.math.washington.edu/sage/ -~----------~----~----~----~------~----~------~--~---
