On zero subrings and periodic subrings

Howard E. Bell
2001 International Journal of Mathematics and Mathematical Sciences  
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.
doi:10.1155/s0161171201006044 fatcat:grlrq6zgwndoxd5gfh37qyhike