International Journal of Mathematics and Mathematical Sciences (Jan 2001)

On zero subrings and periodic subrings

  • Howard E. Bell

DOI
https://doi.org/10.1155/S0161171201006044
Journal volume & issue
Vol. 28, no. 7
pp. 413 – 417

Abstract

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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.