A NOTE ON AUTOMORPHISMS OF PRIME RINGS

A. Chaudhry, A. B. Thaheem
1996 Demonstratio Mathematica  
We prove algebraic generalizations of some results of M. Awami and A. B. Thaheem concerning the equation a + a -1 = + where a,/? are automorphisms of C*-algebras. We show that if R is a prime ring of characteristic not equal to 2 and a, ¡3 are automorphisms of R satisfying a + f)~la' -1 /? = /J + /J -1 , then a = /3 or a = fi . We also prove a result on the commutativity of a and ¡3.
doi:10.1515/dema-1996-0417 fatcat:zob5tntzcrdj7kckdwgukel5ky