#14990: Implement algebraic closures of finite fields
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Reporter: pbruin | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.2
Component: algebra | Resolution:
Keywords: finite field | Merged in:
algebraic closure | Reviewers:
Authors: Peter Bruin | Work issues:
Report Upstream: N/A | Commit:
Branch: u/pbruin/14990 | 33f982f1acbf61cf08897e6a46ee23bb14e78e1e
Dependencies: #14958, #13214 | Stopgaps:
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Comment (by pbruin):
Hello Vincent,
> I do not like
> {{{
> sage: GF(5).algebraic_closure() is GF(5).algebraic_closure()
> False
> }}}
Would you be happier if `FiniteField.algebraic_closure()` were a
`cached_method`?
I see your point, but I really don't like the idea that constructing two
algebraic closures of the same field can be expected to give identical
objects. (Except if there are "trivial" reasons why it should, like
caching the result in the above example, or if you use a mathematically
well-defined construction like (non-pseudo) Conway polynomials.)
--
Ticket URL: <http://trac.sagemath.org/ticket/14990#comment:63>
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