#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
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:
Merged: | Dependencies:
--------------------------------------------------------------+-------------
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
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
--
Comment(by SimonKing):
I noticed that the ticket description stated an incomplete list of
dependencies
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:13>
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