International Journal of Mathematics and Mathematical Sciences 
Volume 13 (1990), Issue 3, Pages 535-544
doi:10.1155/S0161171290000771

Some conditions for finiteness and commutativity of rings

Howard E. Bell and Franco Guerriero

 Department of Mathematics, Brock University, Ontario, St. Catharines L2S 3A1, Canada
Received 21 March 1989; Revised 9 September 1989

Abstract

We present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.