Through much shorter proofs, some new communtativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.
GUPTA, V. (1994). A RESULT OF COMMUTATIVITY OF RINGS. International Journal of Mathematics and Mathematical Sciences, 1994(), 65-72. https://doi.org/10.1155/S0161171294000104
ABUJABAL, H. A. (1990). A COMMUTATIVITY THEOREM FOR LEFT s-UNITAL RINGS. International Journal of Mathematics and Mathematical Sciences, 1990(), 769-774. https://doi.org/10.1155/S0161171290001065
Putcha, M. S., & Yaqub, A. (1979). RINGS WITH A FINITE SET OF NONNILPOTENTS. International Journal of Mathematics and Mathematical Sciences, 1979(), 121-126. https://doi.org/10.1155/S0161171279000120
Shiu, W. C. (1992). The algebraic structure and computation of Schur rings [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200007491