I'm trying to construct polynomials in non-commuting variables in x, y, and 
z
over the integers: Z<x, y, z>, or over some other commutative ring.

The XPolynomial domain constructor allows to define such polynomials.

However, additionally, I'd like to be able to construction the quotient,
(Z<x, y, z>/I), where I is the ideal generated, say, by the following three
commutators:

[x, y] = x + 2y - z + 1
[x, z] = 3x - y + 5z - 7
[y, z] = - 4x + 8 y - 2 z + 9

Are there any suitable constructors to help with this?

Thanks,

SWA


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