International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 53-56, 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
Abstract
We show that a ring with only finitely many noncentral subrings must be either commutative or finite.