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. Bell and A.A. Klein

Department of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, Canada

Abstract

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