FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 2, PAGES 557-559

On PI-rings having a faithful module with Krull dimension

V.T.Markov

The main result: if a PI-ring R has a faithful left module M with Krull dimension, then its prime radical N is nilpotent. Moreover if the left modules M and N are finitely generated then R has left Krull dimension which is equal to Krull dimension of the module M.

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