#12242: Divisibility of number field order elements needs work
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Reporter: davidloeffler | Owner: davidloeffler
Type: defect | Status: new
Priority: minor | Milestone: sage-5.0
Component: number fields | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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This is a followup to #11673. Elements of orders in number fields inherit
from !FieldElement, despite not being elements of a field, and hence some
arithmetic operations give nonsense:
{{{
sage: K.<a> = NumberField(x^2 - x - 1); OK = K.ring_of_integers()
sage: OK(12).divides(OK(13))
True
sage: OK(12) // OK(13)
12/13
}}}
The first should clearly be {{{False}}}, and I'm not sure what the second
should be (perhaps a TypeError) but it certainly shouldn't be 12/13.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12242>
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