#15348: "R.<a> =" syntactic sugar incorrect for EquationOrder and ZZ.extension
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Reporter: emassop | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-7.0
Component: number fields | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/15348 | dac0a4cdb957393b282619213dc231f55cf55cc4
Dependencies: | Stopgaps:
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Comment (by cremona):
We don't have unique representation for fields:
{{{
sage: K1 = QQ[sqrt(2)]
sage: K2 = QQ[1+sqrt(2)]
sage: K1
Number Field in sqrt2 with defining polynomial x^2 - 2
sage: K2
Number Field in a with defining polynomial x^2 - 2*x - 1
sage: K1 is K2
False
sage: K1 == K2
False
sage: K1.is_isomorphic(K2)
True
}}}
in a rather similar context.
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Ticket URL: <http://trac.sagemath.org/ticket/15348#comment:15>
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