International Journal of Mathematics and Mathematical Sciences 
Volume 16 (1993), Issue 2, Pages 351-354
doi:10.1155/S0161171293000420

On finiteness of rings with finite maximal subrings

H. E. Bell1,2 and A. A. Klein1,2

 1Department of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, Canada
2Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Tel Aviv University, Tel-Aviv 69978, Israel
Received 25 July 1991; Revised 20 January 1992

Abstract

It is conjectured that every ring with a finite maximal subring is finite. We prove this conjecture for PI-rings.