International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 1, Pages 201-203
doi:10.1155/S0161171298000283

A note on commutativity of automorphisms

M. S. Samman, M. Anwar Chaudhry, and A. B. Thaheem

 Department of Mathematical Science, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Received 26 March 1996

Abstract

Let α and β automorphisms of a ring satisfying the equation α+α−1=β+β−1. In this paper we prove some results where this equation itself implies the commutativity of α and β.