#17740: Division of modules by basering elements should not pass to the fraction
field.
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Reporter: robertwb | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.5
Component: coercion | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: u/robertwb | Commit:
/coerce-div | 6a507b79f14c7db4f28ac841996cc2ef3d1ba71d
Dependencies: | Stopgaps:
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Comment (by vdelecroix):
My main concern is that your solution ignore iteration
{{{
sage: cm.get_action(GF(5)['x']['y'], ZZ, operator.div)
Right inverse action by Fraction Field of Univariate Polynomial Ring in x
over Finite Field of size 5 on Univariate Polynomial Ring in y over
Univariate Polynomial Ring in x over Finite Field of size 5
with precomposition on right by Composite map:
From: Integer Ring
To: Fraction Field of Univariate Polynomial Ring in x over Finite
Field of size 5
Defn: Natural morphism:
From: Integer Ring
To: Finite Field of size 5
then
Polynomial base injection morphism:
From: Finite Field of size 5
To: Univariate Polynomial Ring in x over Finite Field of size
5
then
Ring Coercion morphism:
From: Univariate Polynomial Ring in x over Finite Field of size
5
To: Fraction Field of Univariate Polynomial Ring in x over
Finite Field of size 5
}}}
I think that `GF(5)['x,y']` and `GF(5)['x']['y']` should behave similarly.
Vincent
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Ticket URL: <http://trac.sagemath.org/ticket/17740#comment:5>
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