#17538: Add is_prime() to RingElement
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Reporter: jdemeyer | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.5
Component: commutative algebra | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by kcrisman):
* cc: kcrisman (added)
Comment:
How easy is this to implement - is it just a matter of creating a
principal ideal and checking if the ideal is prime, or do some rings need
more than that?
{{{
sage: GaussianIntegers = NumberField(x^2+1, 'I').ring_of_integers()
sage: A = GaussianIntegers([2,1])
sage: B = GaussianIntegers.ideal(A)
sage: B.is_prime()
True
}}}
Hmm. But maybe it isn't always this easy.
(Note: this is largely motivated by #7545.)
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Ticket URL: <http://trac.sagemath.org/ticket/17538#comment:1>
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