#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: | Merged in:
Dependencies: #13214 | Stopgaps:
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Comment (by tfeulner):
Maybe you should produce a seperate trac ticket for the fix of
{{{
sage: (2*y)^(-1)
...
NotImplementedError: The base ring (=Ring of integers modulo 16) is not a
field
}}}
By the way, I know that this is a problem which also occurs for usual
polynomials (because of the default definition of the reduce function). Do
you have any idea how to fix this:
{{{
sage: Z16x.<x> = SkewPolynomialRing(Integers(16))
sage: # Z16x.<x> = Integers(16)[] # has the same behaviour
sage: GR.<y> = Z16x.quotient(x**2 + x+1 )
sage: I = GR.ideal(4)
sage: I.reduce(6)
6
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13215#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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