A.D. Bell: Abstract

## Goldie dimension of prime factors of polynomial and skew polynomial rings

Allen D. Bell

### Publication Information

Appeared in Journal of the London Mathematical Society (2) 29 (1984), pp. 418-424
Math Reviews: 85k:16027

### 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
$R[\theta;\delta_1]\dots[\theta;\delta_m]$.