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Dependent Automorphisms in Prime Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1998