#8562: Categories for IntegerMod rings
---------------------------------+------------------------------------------
Reporter: nthiery | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.4
Component: algebra | Keywords: categories, integer mod rings
Author: Nicolas M. ThiƩry | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by nthiery):
* status: needs_work => needs_review
* reviewer: Robert Beezer =>
* type: defect => enhancement
* work_issues: Designe decision for IntegerModRing(5).category() =>
Old description:
> After this patch, IntegerModRing's inherit properly from categories:
> {{{
> sage: Z3 = IntegerModRing(3)
> sage: Z3.category()
> Category of fields
> sage: TestSuite(Z3).run(verbose = True)
> running ._test_additive_associativity() . . . pass
> running ._test_an_element() . . . pass
> running ._test_associativity() . . . pass
> running ._test_category() . . . pass
> running ._test_elements() . . .
> Running the test suite of self.an_element()
> running ._test_category() . . . pass
> running ._test_not_implemented_methods() . . . pass
> running ._test_pickling() . . . pass
> pass
> running ._test_not_implemented_methods() . . . pass
> running ._test_one() . . . pass
> running ._test_pickling() . . . pass
> running ._test_prod() . . . pass
> running ._test_some_elements() . . . pass
> running ._test_zero() . . . pass
> }}}
>
> And this makes the cool features from #7555 work for Z/nZ.
>
> Needs work: see: running design discussion on:
>
> http://groups.google.com/group/sage-devel/t/21e21e1ec9cd21fe
New description:
After this patch, IntegerModRing's inherit properly from categories:
{{{
sage: Z3 = IntegerModRing(3)
sage: Z3.category()
Category of commutative rings
sage: TestSuite(Z3).run(verbose = True)
running ._test_additive_associativity() . . . pass
running ._test_an_element() . . . pass
running ._test_associativity() . . . pass
running ._test_category() . . . pass
running ._test_elements() . . .
Running the test suite of self.an_element()
running ._test_category() . . . pass
running ._test_not_implemented_methods() . . . pass
running ._test_pickling() . . . pass
pass
running ._test_not_implemented_methods() . . . pass
running ._test_one() . . . pass
running ._test_pickling() . . . pass
running ._test_prod() . . . pass
running ._test_some_elements() . . . pass
running ._test_zero() . . . pass
}}}
And this makes the cool features from #7555 work for Z/nZ.
Potential conflict with #8218 (which has higher priority)
For a later ticket, see: running design discussion on:
http://groups.google.com/group/sage-devel/t/21e21e1ec9cd21fe
--
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8562#comment:7>
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