#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: rebase wrt new version of #9138 | Upstream: N/A
Reviewer: | Author: Simon King
Merged: | Dependencies: #10961,
#9138, #11115, #11342
------------------------------------------------+---------------------------
Changes (by SimonKing):
* status: needs_work => needs_review
Old description:
> It was suggested that my patch for #7797 be split into several parts.
>
> The first part shall be about ideals in non-commutative rings. Aim, for
> example:
> {{{
> sage: A = SteenrodAlgebra(2)
> sage: A*[A.0,A.1^2]
> Left Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra
> sage: [A.0,A.1^2]*A
> Right Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra
> sage: A*[A.0,A.1^2]*A
> Twosided Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra
> }}}
>
> It was suggested to also add quotients by twosided ideals, although it
> will be difficult to provide examples before having letterplace ideals.
>
> Depends on #10961 #9138 #11115
>
> Apply all three patches.
New description:
It was suggested that my patch for #7797 be split into several parts.
The first part shall be about ideals in non-commutative rings. Aim, for
example:
{{{
sage: A = SteenrodAlgebra(2)
sage: A*[A.0,A.1^2]
Left Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra
sage: [A.0,A.1^2]*A
Right Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra
sage: A*[A.0,A.1^2]*A
Twosided Ideal (Sq(1), Sq(1,1)) of mod 2 Steenrod algebra
}}}
It was suggested to also add quotients by twosided ideals, although it
will be difficult to provide examples before having letterplace ideals.
Depends on #10961 #9138 #11115
Apply:
* [attachment:trac11068_nc_ideals_and_quotients.patch]
* [attachment:trac11068_quotient_ring_without_names.patch]
* [attachment:trac11068_lifting_map.patch]
--
Comment:
I have rebased the patches. I guess it needs a new review. Note that the
patches from #9138 have changed as well.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:50>
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.
