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On certain pairs of automorphisms of rings, II

Part of: Radicals and radical properties of rings Rings and algebras with additional structure

Published online by Cambridge University Press:  09 April 2009

Matej Brešar
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.

Keywords

automorphismprime ring.

MSC classification

Secondary: 16W20: Automorphisms and endomorphisms 16N60: Prime and semiprime rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 2 , April 1998 , pp. 162 - 168
Copyright
Copyright © Australian Mathematical Society 1998

References

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