#15865: Should there be a method on a rational function field that returns the
ring
it came from?
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Reporter: darij | Owner:
Type: defect | Status: new
Priority: major | Milestone:
Component: algebra | Resolution:
Keywords: polynomials, fraction field, | Merged in:
categories | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Comment (by tscrim):
Hmm....I think we maybe should have a more clearly named method such as
`fraction_field_base()` for all fraction fields. Oh also I remembered:
{{{
sage: g = FractionField(QQ['x'])
sage: g.construction()
(FractionField, Univariate Polynomial Ring in x over Rational Field)
}}}
Although on another ticket we decided to have the fraction field of
Laurent polynomials be the fraction field of usual polynomials (I forget
the number currently, but I can find it if you want). I think this is the
right thing to do FTR. Hence we should not expect to have `FF(R).base() ==
R` in general. Moreover, I think `QQ.fraction_field_base()` should be
`ZZ`. Although perhaps not `base()`, but that would definitely need a
sage-devel discussion.
--
Ticket URL: <http://trac.sagemath.org/ticket/15865#comment:3>
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