#14084: Wrong domain of the fraction field construction functor
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Reporter: SimonKing | Owner: nthiery
Type: defect | Status: new
Priority: major | Milestone: sage-5.7
Component: categories | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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The construction functor for fraction fields pretends that it takes any
ring as input:
{{{
sage: Fract,R = QQ.construction()
sage: Fract.domain()
Category of rings
sage: Fract.codomain()
Category of fields
}}}
But of course that's wrong:
{{{
sage: Fract(ZZ.quo(15))
Traceback (most recent call last):
...
TypeError: self must be an integral domain.
}}}
Hence, it would be better to declare right away that its domain is the
category of integral domains.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14084>
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