#13215: Skew polynomials
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Reporter: caruso | Owner: tbd
Type: enhancement | Status: needs_work
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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Changes (by tfeulner):
* cc: tfeulner (added)
* status: needs_review => needs_work
Comment:
With your changes it is now possible to test some element in an Univariate
Quotient Polynomial Ring to be a unit and to compute its inverse.
Unfortunately, this computation gives wrong results:
{{{
sage: Z16x.<x> = Integers(16)[]
sage: GR.<y> = Z16x.quotient(x**2 + x+1 )
sage: (2*y).is_unit()
True
sage: (2*y)^(-1)
15*y + 15
sage: (2*y)*(2*y)^(-1)
2
}}}
Thomas
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13215#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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