#10481: errors should be raised not returned in is_integral_domain()
------------------------+---------------------------------------------------
Reporter: mderickx | Owner: mderickx
Type: defect | Status: new
Priority: minor | Milestone: sage-4.6.1
Component: algebra | Keywords:
Author: mderickx | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by mderickx:
Old description:
> Currently we get this behaviour.
>
> {{{
> sage: R.<a>=ZZ['x'].quo(x^2)
> sage: 1/K(x)
> 1/a
> sage: (1/K(x))^2
> ---------------------------------------------------------------------------
> ZeroDivisionError Traceback (most recent call
> last)
>
> /Users/maarten/<ipython console> in <module>()
>
> /Applications/sage/local/lib/python2.6/site-
> packages/sage/rings/fraction_field_element.so in
> sage.rings.fraction_field_element.FractionFieldElement.__pow__
> (sage/rings/fraction_field_element.c:8361)()
>
> /Applications/sage/local/lib/python2.6/site-
> packages/sage/rings/fraction_field_element.so in
> sage.rings.fraction_field_element.FractionFieldElement.__init__
> (sage/rings/fraction_field_element.c:2105)()
>
> ZeroDivisionError: fraction field element division by zero
> sage: R.is_integral_domain()
> <type 'exceptions.NotImplementedError'>
> sage: if R.is_integral_domain(): print "this should not be printed"
> ....:
> this should not be printed
> }}}
New description:
Currently we get this behaviour.
{{{
sage: R.<a>=ZZ['x'].quo(x^2)
K=R.fraction_field()
sage: 1/K(x)
1/a
sage: (1/K(x))^2
---------------------------------------------------------------------------
ZeroDivisionError Traceback (most recent call
last)
/Users/maarten/<ipython console> in <module>()
/Applications/sage/local/lib/python2.6/site-
packages/sage/rings/fraction_field_element.so in
sage.rings.fraction_field_element.FractionFieldElement.__pow__
(sage/rings/fraction_field_element.c:8361)()
/Applications/sage/local/lib/python2.6/site-
packages/sage/rings/fraction_field_element.so in
sage.rings.fraction_field_element.FractionFieldElement.__init__
(sage/rings/fraction_field_element.c:2105)()
ZeroDivisionError: fraction field element division by zero
sage: R.is_integral_domain()
<type 'exceptions.NotImplementedError'>
sage: if R.is_integral_domain(): print "this should not be printed"
....:
this should not be printed
}}}
--
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10481#comment:1>
Sage <http://www.sagemath.org>
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