#18036: I should not be symbolic
---------------------------------+------------------------
Reporter: vdelecroix | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.6
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
---------------------------------+------------------------
Comment (by pbruin):
Replying to [comment:2 vdelecroix]:
> I found two rather natural choices for the adoption of `I`:
> - the ring of integers `Z[sqrt(-1)]` with its natural embedding in
`QQbar`
The ring `ZZ[sqrt(-1)]` definitely looks like the most natural choice to
me, since admits a canonical homomorphism to any other ring with a
distinguished square root of -1.
As for the distinguished embedding, is there a specific reason for
choosing `QQbar`? A more minimal choice would be to fix an embedding into
a `UniversalCyclotomicField`; then we would have coercion maps `ZZ[I]` ->
`UniversalCyclotomicField(zeta)` -> `QQbar` -> `CC`. (Maybe this makes
finding common parents slightly harder, though.)
--
Ticket URL: <http://trac.sagemath.org/ticket/18036#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
