#9138: Categories for all rings
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Reporter: jbandlow | Owner: nthiery
Type: defect | Status: needs_work
Priority: major | Milestone: sage-4.7
Component: categories | Keywords: introspection,
categories for rings
Author: Simon King | Upstream: N/A
Reviewer: | Merged:
Work_issues: Categories for more rings... |
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Comment(by SimonKing):
Replying to [comment:49 nthiery]:
> From the doc:
> {{{
> Given a concrete category ``As()`` (i.e. a subcategory of
> ``Sets()``), ``As().Quotients()`` returns the category of objects
> of ``As()`` endowed with a distinguished description as
> quotient of some other object of ``As()``.
> }}}
>
> IntMod16 is *not* a quotient of ZZ by a morphism of *euclidean domains*.
So it is not in EuclideanDomains().Quotients().
I see. So, I can not provide `QuotientRing` with the category of quotients
of the category of the ambient ring.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9138#comment:50>
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