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On certain pairs of automorphisms of rings, II

Published online by Cambridge University Press:  09 April 2009

Matej Brešar
Affiliation:
University of MariborPF, Koroška 160 2000 Maribor Slovenia
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Abstract

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Let R be a prime ring of characteristic not 2. Automorphisms α and β of R satisfying α ≠ β, α ≠ β−1, and α + α−1 = β + β-1 are characterized. This result is an algebraic analogue of some results for operator algebras.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Batty, C. J. K., ‘On certain pairs of automorphism of C*-a1gebras’, J. Austral. Math. Soc. (Ser. A) 46 (1989), 197211.CrossRefGoogle Scholar
[2]Brešar, M., ‘On the compositions of (α, β)-derivations of rings, and applications to von Neumann algebras’, Acta Sci. Math. (Szeged) 56 (1992), 369375.Google Scholar
[3]Brešar, M., ‘On certain pairs of automorphisms of rings’, J. Austral. Math. Soc. (Sec A) 54 (1993), 2938.CrossRefGoogle Scholar
[4]Lanski, C., ‘Differential identities in prime rings with involution’, Trans. Amer Math. Soc. 291 (1985), 765787.CrossRefGoogle Scholar
[5]Passman, D., Infinite crossed products (Academic Press, San Diego, 1989).Google Scholar
[6]Thaheem, A. B., ‘On pairs of automorphisms of von Neumann algebras’, Internat. J. Math. Math. Sci. 12 (1989), 285290.CrossRefGoogle Scholar