#14366: Zero does not belong to zero ideal of a number field
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Reporter: olitb | Owner: davidloeffler
Type: defect | Status: needs_review
Priority: major | Milestone: sage-5.11
Component: number fields | Resolution:
Keywords: sd51 | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Comment (by davidloeffler):
I can't help thinking that an easier solution would be to use the {{{
_contains_()}}} method of the ideal's underlying Z-module
({{{self.free_module()}}}).
We could just reimplement {{{ coordinates(self, x)}}} as
{{{
#!python
def coordinates(self, x):
K = self.number_field()
V, from_V, to_V = K.absolute_vector_space()
return self.free_module().coordinates(to_V(K(x)))
}}}
and then there is no longer any need to worry about the special case of
the zero ideal, it will be dealt with automatically.
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Ticket URL: <http://trac.sagemath.org/ticket/14366#comment:15>
Sage <http://www.sagemath.org>
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