Krull and global dimensions of semiprime Noetherian PI-rings
Krull and global dimensions of semiprime Noetherian PI-rings
In this paper it is shown that if R is a semiprime Noetherian /V-ring of finite global dimension, then the Krull dimension of R is less than or equal to its global dimension.The proof depends upon two preliminary results on arbitrary Noetherian /V-rings, which are of independent interest: (i) any …