International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 7, Pages 413-417

On zero subrings and periodic subrings

Howard E. Bell

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

Received 23 October 2000

Copyright © 2001 Howard E. Bell. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We give new proofs of two theorems on rings in which every zero subring is finite; and we apply these theorems to obtain a necessary and sufficient condition for an infinite ring with periodic additive group to have an infinite periodic subring.