#15183: x in IntegralDomains() should refine category
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Reporter: saraedum | Type: enhancement
Status: new | Priority: minor
Milestone: sage-5.12 | Component: categories
Resolution: | Report Upstream: N/A
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Currently, ``IntegerModRing`` refines its category if asked for membership
in ``Fields()``:
{{{
sage: M = IntegerModRing(3)
sage: M.category()
Join of Category of commutative rings ...
sage: M in Fields()
True
sage: M.category()
Join of Category of fields ...
}}}
The same does not happen for ``IntegralDomains()``:
{{{
sage: M = IntegerModRing(5)
sage: M.category()
Join of Category of commutative rings ...
sage: M in IntegralDomains()
False
sage: M.category()
Join of Category of commutative rings ...
}}}
The changes on this ticket copy the logic from fields over to integral
domains.
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Ticket URL: <http://trac.sagemath.org/ticket/15183>
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