Goldie dimension of prime factors of polynomial and skew polynomial rings

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Abstract (in LaTeX)

We show that if $R$ is a right Noetherian ring containing the
rational numbers, any bound on the Goldie dimension of prime
factors of $R[x]$ is actually a bound on the Goldie dimension
of prime factors of any polynomial ring $R[x_1,\dots,x_m]$.
A result of Sigurdsson then shows that the same bound holds
for any iterated differential operator ring
$R[\theta;\delta_1]\dots[\theta;\delta_m]$.

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