## On Semiprime Noetherian PI-Rings

*Chiba, Katsuo*;

- Publisher: Department of Mathematics, Faculty of Science, Okayama University
- Journal: Mathematical Journal of Okayama University,volume 42,issue 1 (issn: 0030-1566)

<p>Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right Noetherian, (3) Let a,... View more