Dependent Automorphisms in Prime Rings
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 452-462

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DOI

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.
DOI : 10.4153/CMB-1998-059-1
Mots-clés : 16N60, 16W20
Brešar, Matej; 3rd, W. S. Martindale; Miers, C. Robert. Dependent Automorphisms in Prime Rings. Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 452-462. doi: 10.4153/CMB-1998-059-1
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     author = {Bre\v{s}ar, Matej and 3rd, W. S. Martindale and Miers, C. Robert},
     title = {Dependent {Automorphisms} in {Prime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {452--462},
     year = {1998},
     volume = {41},
     number = {4},
     doi = {10.4153/CMB-1998-059-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-059-1/}
}
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