Addendum to Polynomial rings over Jacobson-Hilbert Rings

Publicacions Ma emá iques, Vol 34 (1990), 223-223 . Addendum o POLYNOMIAL RINGS OVER JACOBSON-HILBERT RINGS CARL FAITH In he a icle appea ed in his same jou nal, ol . 33, 1 (1989) pp . 85--97, some s a emen s in he p oo o Example 3 .413 go sc ambled . I is easy o see ha R is SISI om [Vl] ; and clea ly (2) => (1) . Since any Vamosian semilocal ing has ini e Goldie dimension by [V1], hen (1) => (3) . Any A inian ing is Mo i a, hence (3) =* (2) . Also in P oposi ion 5 .3 ., he las s a emen should be : Then (1) => (2) => (3) => (4), and con e sely i R is a Mo i a ing .