#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
Work_issues: Shall one move code from ring.pyx to rings.py? | Upstream:
N/A
Reviewer: | Author:
Simon King
Merged: | Dependencies:
#10961, #9138, #11115
--------------------------------------------------------------+-------------
Comment(by john_perry):
Update:
1. Now that I think of it, does the request to distinguish left, right,
& two-sided ideals makes sense in `_ideal_class()`? This is a method for a
ring, not an ideal.
1. You write,
It was suggested to also add quotients by twosided ideals, although it
will be difficult to provide examples before having letterplace ideals.
I took the example given above of a two-sided ideal with the Steenrod
algebra, and it would not compute the quotient ring; see below. Is this
supposed to work?
{{{
sage: A = SteenrodAlgebra(2)
sage: A*[A.0,A.1^2]*A
Twosided Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra, milnor basis
sage: I = A*[A.0,A.1^2]*A
sage: A.quo(I)
---------------------------------------------------------------------------
ValueError Traceback (most recent call
last)
...
ValueError: variable names have not yet been set using
self._assign_names(...)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:22>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
