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Dependent Automorphisms in Prime Rings

Published online by Cambridge University Press:  20 November 2018

Matej Brešar
University of Maribor PF, Koroška 160 62000 Maribor Slovenia
W. S. Martindale 3rd
Department of Mathematics University of Massachusetts Amherst, MA 01003 USA
C. Robert Miers
Department of Mathematics and Statistics University of Victoria Victoria, BC V8W 3P4
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For each $n\ge 4$ we construct a class of examples of a minimal $C$-dependent set of $n$ automorphisms of a prime ring $R$, where $C$ is the extended centroid of $R$. For $n=4$ and $n=5$ it is shown that the preceding examples are completely general, whereas for $n=6$ an example is given which fails to enjoy any of the nice properties of the above example.


Research Article
Copyright © Canadian Mathematical Society 1998


[A] Batty, C. J. K., On certain pairs of automorphisms of C*-algebras. J. Austral. Math. Soc. 46 (1989), 197211.Google Scholar
[B] Beidar, K. I., Martindale, W. S. III and Mikhalev, A. V., Rings with Generalized Identities. Marcel Dekker, 1995.Google Scholar
[C] Brešar, M., On certain pairs of automorphisms of rings, II. Preprint.Google Scholar
[D] Martindale, W. S. III and Susan Montgomery, The normal closure of coproducts of domains. J. Algebra 82 (1983), 117.Google Scholar