#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 john_perry):
Here's another one. Given the ring as defined so far:
{{{
sage: x = MS.0; y = MS.1
sage: x + y
[1 1]
[0 0]
sage: x * y
ERROR: An unexpected error occurred while tokenizing input
The following traceback may be corrupted or invalid
The error message is: ('EOF in multi-line statement', (64, 0))
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
...
TypeError: Cannot convert MatrixSpace_generic_with_category to
sage.rings.ring.Ring
}}}
The thing is, we get
{{{
sage: x in Q
True
sage: y in Q
True
}}}
where `Q` is as above.
1. Should `MatrixSpace()` notice when it is generating a ring?
1. Should `x` and `y` be elements of `Q`? Is this due to coercion?
1. Are these completely separate issues?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:31>
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