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Abstract
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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

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.