Some conditions for finiteness and commutativity of rings
Howard E. Bell1and Franco Guerriero1
Received21 Mar 1989
Revised09 Sept 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.