#13215: Skew polynomials
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Reporter: caruso | Owner: tbd
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.3
Component: experimental package | Resolution:
Keywords: skew polynomials | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Xavier Caruso | Merged in:
Dependencies: #13214, #13303 | Stopgaps:
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Comment (by tfeulner):
Hi Xavier,
you are right this is a more general problem. I started a discussion on
https://groups.google.com/d/topic/sage-devel/s5y604ZPiQ8/discussion.
The function reduce() does what it says ''returning an element of the
ring''.
But in the definition of a QuotientRing there is the following assumption
`I.reduce(x)==I.reduce(y) \iff x-y \in I`, and
`x-I.reduce(x) \in I`, for all `x \in R`.
With this default behaviour, the quotient ring is just a copy of the
original ring R.
Best, Thomas
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13215#comment:13>
Sage <http://www.sagemath.org>
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