International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 54, Pages 2863-2865
doi:10.1155/S0161171204405420

A commutativity-or-finiteness condition for rings

Abraham A. Klein1 and Howard E. Bell2

 1School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
2Department of Mathematics, Brock University, St. Catharines L2S3A1, ON, Canada
Received 20 May 2004

Abstract

We show that a ring with only finitely many noncentral subrings must be either commutative or finite.