#8972: Inversion and fraction fields for power series rings
-------------------------+--------------------------------------------------
Reporter: SimonKing | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone: sage-4.4.2
Component: algebra | Keywords: power series ring, fraction field
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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This ticket is about at least three bugs related with inversion of
elements of power series rings.
Here is the first:
{{{
sage: R.<x> = ZZ[[]]
sage: (1/x).parent()
Laurent Series Ring in x over Integer Ring
sage: (x/x).parent()
Power Series Ring in x over Integer Ring
}}}
''Both'' parents are wrong. Usually, the parent of ``a/b`` is the fraction
field of the parent of ``a,b``, even if ``a==b``. And neither above parent
is a field.
Next bug:
{{{
sage: (1/(2*x)).parent()
ERROR: An unexpected error occurred while tokenizing input
The following traceback may be corrupted or invalid
The error message is: ('EOF in multi-line statement', (919, 0))
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
... very long traceback
TypeError: no conversion of this rational to integer
}}}
And the third:
{{{
sage: F = FractionField(R)
sage: 1/x in F
False
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8972>
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