#12269: coercion and conversion for absolute_field
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Reporter: mstreng | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: number fields | Keywords: coercion conversion
absolute_field number field structure relative absolute
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Changes (by mstreng):
* cc: SimonKing (added)
Comment:
Replying to [comment:5 jdemeyer]:
> I believe a solution similar to #11876 is in order: make
`absolute_field` store an embedding (in this case an isomorphism) to the
starting field.
That would fix it, but I don't think it would be very fast, as it would
still use {{{.roots()}}} / #11869.
Wouldn't it be better to use the category/coercion framework here? I
suppose all that is needed it to store the {{{.structure()}}}
homomorphisms in the appropriate place (wherever that is, cc: Simon) as
conversion maps. The structure homomorphisms are computed already, and
using them is very fast.
Still, inheriting embeddings as in #11876 is certainly useful, so I think
it is best to do both.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12269#comment:6>
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