#12551: characteristic() does not work for extensions for function field
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Reporter: saraedum | Owner: malb
Type: defect | Status: new
Priority: trivial | Milestone: sage-5.0
Component: commutative algebra | Keywords: function fields
Work_issues: | Upstream: N/A
Reviewer: | Author: Julian Rüth
Merged: | Dependencies:
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{{{characteristic()}}} relies on {{{constant_field()}}} which is not
implemented for extensions of {{{RationalFunctionField}}}:
{{{
sage: K.<x> = FunctionField(QQ)
sage: R.<y> = K[]
sage: L.<y> = K.extension(y^2-x)
sage: L.characteristic()
NotImplementedError
}}}
The attached patch fixes this.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12551>
Sage <http://www.sagemath.org>
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