#8800: Doctest coverage of categories - numerous coercion fixes
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Reporter: SimonKing | Owner: Simon King
Type: defect | Status: needs_work
Priority: major | Milestone: sage-4.6.1
Component: categories | Keywords: categories doctests
Author: Simon King | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by lftabera):
I confirm that changing the doctest makes all doctest pass.
However, with the coercion of embedded and non embedded number fields, now
addition is not associative.
{{{
sage: K1.<r1>=NumberField(x^2-2)
sage: K2.<r2>=NumberField(x^2-2, embedding=1)
sage: K3.<r3>=NumberField(x^2-2, embedding=-1)
sage: (r1+r2)+r3
3*r1
sage: r1+(r2+r3)
r1
}}}
r1+r2 is ambiguous. So either this operation should raise an error or it
should add an embedding to K1 compatible with K2. But as far as I
understand the coercion model the latter is not possible.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8800#comment:58>
Sage <http://www.sagemath.org>
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