#5306: [with patch, needs work] More number field ideal utilities
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Reporter: cremona | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.4.2
Component: number theory | Keywords:
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Comment(by davidloeffler):
As for the name of this function: the trouble is that anything with
"reduce" in the title tends to suggest that the representative returned is
in some way canonical, as with the reduce_cusp command for subgroups of
SL2Z; one would be led to suspect that x - y is in I if and only if
I.reduce(x) = I.reduce(y). Ideally this would be true and then there is no
issue. However, I'm worried by the fact that Pari provides a separate
function nfeltreducemodpr where the ideal I is assumed to be prime, for
which the documentation does make that uniqueness claim; this tends to
suggest that it isn't true for nfeltreduce. If this doesn't hold then
perhaps "small_representative" might be less dangerous.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5306#comment:4>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
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