#15192: add is_unit() for residue fields
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Reporter: saraedum | Type: enhancement
Status: new | Priority: trivial
Milestone: sage-5.12 | Component: categories
Resolution: | Report Upstream: N/A
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Currently, residue fields have no `is_unit`:
{{{
sage: K.<z> = CyclotomicField(7)
sage: P = K.factor(17)[0][0]
sage: ff = K.residue_field(P)
sage: a = ff(z)
sage: a.is_unit()
NotImplementedError
}}}
They are fields but the implementation from `Fields.ElementMethods` is not
used because the generic ring class defines a trivial `is_unit()` already.
This ticket moves that method to the category of rings which gives a
working `is_unit()` for residue fields.
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Ticket URL: <http://trac.sagemath.org/ticket/15192>
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