#15223: Let the `TestSuite` test that the construction of a parent returns the
parent
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Reporter: SimonKing | Owner:
Type: defect | Status: needs_work
Priority: major | Milestone: sage-6.1
Component: coercion | Resolution:
Keywords: construction | Merged in:
functor, test suite, sd53 | Reviewers:
Authors: Simon King | Work issues:
Report Upstream: N/A | Commit:
Branch: | d0c42ff938754eb8ad52f7819671f99552d683ed
u/SimonKing/ticket/15223 | Stopgaps:
Dependencies: #15229 |
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Comment (by SimonKing):
Concerning the error with residue fields:
{{{
sage: K.<z> = CyclotomicField(7)
sage: P = K.factor(17)[0][0]
sage: ff = K.residue_field(P)
sage: ff.construction()
(AlgebraicExtensionFunctor, Finite Field of size 17)
sage: F,R = _
sage: F(R)
Finite Field in zbar of size 17^6
sage: ff
Residue field in zbar of Fractional ideal (17)
sage: ff.order()
24137569
sage: F(R).order()
24137569
}}}
So, the construction of a residue field just yields a finite field, not a
residue field. Either the algebraic extension functor needs information of
whether it is a residue field or not, or we need a "residue field
functor". I wouldn't like to see the latter, since it is clearly no
functor. OK, it would also be possible to kill the construction of residue
fields.
--
Ticket URL: <http://trac.sagemath.org/ticket/15223#comment:39>
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