#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:29 john_perry]:
> works fine, '''but''' the discussion in #11342 makes me wonder if this
is because, in the second case, QI is a "fractional ideal":
> {{{
> sage: QI
> Fractional ideal (i,)
> }}}
> This is beyond my expertise, so I have to ask: is this appropriate
behavior?
Hm. I think it would be nice to make fractional ideals constructible in
the same way as usual ideals are constructible. But they belong to a
different Python class; hence, the functionality can not so easily be
provided.
Since `QI = QA.ideal([i])` works, I'd prefer to keep it as is, and would
consider `QA*i*QA` as syntactical sugar that might be added on a different
ticket.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11068#comment:30>
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