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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 7, Pages 413-417
doi:10.1155/S0161171201006044

On zero subrings and periodic subrings

Howard E. Bell

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

Abstract

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.