Bill Page wrote:
> 
> > On 10/22/18 9:55 AM, Waldek Hebisch wrote:
> > > I looked at noncommutative factorization code and AFAICS
> > > 'xdpolyf1.spad' has serious problem.  One example is:
> > >
> > > (58) -> factor((x^2 - 2)*(y - 1)*(x - 1))
> > >
> > >                                      2    2     3    2
> > >    (58)  [- 2 + 2 y + 2 x - 2 y x + x  - x y - x  + x y x]
> > > Type: 
> > > List(XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Integer))
> > >
> > > that is '(x^2 - 2)*(y - 1)*(x - 1)' is treated as irreducible.
> > >
<snip> 
> enough.  The following patch corrects this problem:

Before the patch

f101 := (x*z - z*x)^2 - 2

was immediately recognized as irreducible.  With the patch I did not
get answer for several minutes (may be I am not patient enough?).
Similarly

f102 := (x*z + z*x)^2 - 2

and

f103 := (x^2 + x + z)^2 - 2

-- 
                              Waldek Hebisch

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