#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):
I just found a problem with the category of quotients:
{{{
sage: EuclideanDomains().Quotients()
Join of Category of euclidean domains and Category of subquotients of
monoids and Category of quotients of semigroups
}}}
That's plain wrong. Think of the ring of integers mod 16, which is
certainly not a euclidean domain (not even integral domain), but should
belong to the category of quotients of euclidean domains.
I'll try to analyse the problem. I noticed it when I tried to provide
`Integers(n)` with an appropriate category.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9138#comment:47>
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