Hi Noud!

On 15 Mrz., 13:28, Noud Aldenhoven <[email protected]> wrote:
> Is it possible to make a non-commutative ring over QQ with three
> generators x, y and z in Sage? So is it possible to make some sort of
> polynomial ring Q[x, y, z] with the extra properties that xy /= yx, xz
> /= zx and yz /= zy?

Do you mean a free associative unital algebra?
  sage: F.<x,y,z> = FreeAlgebra(QQ,3)
  sage: x*y == y*x
  False

Note that in sage-5.0 it will be possible to define so-called G-
algebras (See http://www.singular.uni-kl.de/Manual/3-1-3/sing_452.htm
for example)

Or do you mean different kind of algebras?

Cheers,
Simon

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