Journal of the Australian Mathematical Society - Series A Vol. 64 Part 2 (1998) On certain pairs of automorphisms of rings, II Matej Bresar University of Maribor PF, Koroska 160 2000 Maribor Slovenia Abstract: Let R be a prime ring of characteristic not 2. Automorphisms $\alpha$ and $\beta$ of R satisfying $\alpha \neq \beta$, $\alpha \neq \beta^{-1}$, and $\alpha + \alpha^{-1} = \beta + \beta^{-1}$are characterized. This result is an algebraic analogue of some results for operator algebras. PDF file size: 39K © Copyright 1998, Australian Mathematical Society