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.

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