# Ideals and commutative rings

I consider a matrix $M$ which I transform into a system of equations similar as this (but with a different $M$)

sage: M=matrix(3,3,[1,2,3,4,5,6,7,8,9])

sage: P=PolynomialRing(GF(p),M.nrows(),names="x")

sage: (vector(P.gen(i) for i in range(3))*M).list()

[x0 + 4*x1 + 7*x2, 2*x0 + 5*x1 + 8*x2, 3*x0 + 6*x1 + 9*x2]

(Example taken from another equation where $p$ is a prime).

When I try to create the ideal generated by this system, I get the following error : TypeError: R must be a commutative ring. Any idea how I can fix this?