International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 33-36, Pages 1887-1892
doi:10.1155/S0161171204310422
Periodic rings with finitely generated underlying group.
R. Khazal
and S. Dăscălescu
Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract
We study periodic rings that are finitely generated as groups. We prove several structure results. We classify periodic rings that are free of rank at most 2, and also periodic rings R such that R is finitely generated as a group and R/t(R)≃ℤ. In this way, we construct new classes of periodic rings. We also ask a question concerning the connection to periodic rings that are finitely generated as rings.