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Abstract
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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

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.