#11068: Basic implementation of one- and twosided ideals of non-commutative
rings,
and quotients by twosided ideals
---------------------------+------------------------------------------------
Reporter: SimonKing | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.7.2
Component: algebra | Keywords: onesided twosided ideal
noncommutative ring sd32
Work_issues: | Upstream: N/A
Reviewer: | Author: Simon King
Merged: | Dependencies: #10961, #9138, #11115, #11342
---------------------------+------------------------------------------------
Comment(by SimonKing):
Replying to [comment:31 john_perry]:
> Here's another one. Given the ring as defined so far:
>
---------------------------------------------------------------------------
> TypeError Traceback (most recent call
last)
> ...
> TypeError: Cannot convert MatrixSpace_generic_with_category to
sage.rings.ring.Ring
Could you please state precisely what you did?
When I start sage with the patches applied, I get
{{{
sage: MS = MatrixSpace(GF(5),2)
sage: MS.0+MS.1
[1 1]
[0 0]
sage: MS.0*MS.1
[0 1]
[0 0]
}}}
> The thing is, we get
> {{{
> sage: x in Q
What is Q?
> 1. Should `MatrixSpace()` notice when it is generating a ring?
It obviously does. We have
{{{
sage: MS in Rings()
True
}}}
even without my patch.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:32>
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