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# Dependent automorphisms in prime rings

Published:1998-12-01
Printed: Dec 1998
• Matej Brešar
• W. S. Martindale 3rd
• C. Robert Miers
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## Abstract

For each $n\geq 4$ 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.
 MSC Classifications: 16N60 - Prime and semiprime rings [See also 16D60, 16U10] 16W20 - Automorphisms and endomorphisms