#20338: Spec().an_element() is wrong when the coordinate ring is not Z
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Reporter: justin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.2
Component: PLEASE CHANGE | Keywords: spec, coordinate ring
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The code (schemes/generic/scheme.py) does this:
{{{
return self(self.coordinate_ring().zero_ideal())
}}}
if the scheme's coordinate ring is not the integers. The coordinate ring
need not be a domain, in which case the zero ideal is not prime (hence not
a point in the prime spectrum).
I am not clear on the proper fix. I suspect for random rings, it's not
easy to cobble up a prime ideal. At a minimum, the above could be called
when the ring is a domain.
--
Ticket URL: <http://trac.sagemath.org/ticket/20338>
Sage <http://www.sagemath.org>
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