Dependent Automorphisms in Prime Rings
Canadian mathematical bulletin, Tome 41 (1998) no. 4, pp. 452-462
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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.
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
@article{10_4153_CMB_1998_059_1,
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/}
}
TY - JOUR AU - Brešar, Matej AU - 3rd, W. S. Martindale AU - Miers, C. Robert TI - Dependent Automorphisms in Prime Rings JO - Canadian mathematical bulletin PY - 1998 SP - 452 EP - 462 VL - 41 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-059-1/ DO - 10.4153/CMB-1998-059-1 ID - 10_4153_CMB_1998_059_1 ER -
%0 Journal Article %A Brešar, Matej %A 3rd, W. S. Martindale %A Miers, C. Robert %T Dependent Automorphisms in Prime Rings %J Canadian mathematical bulletin %D 1998 %P 452-462 %V 41 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-059-1/ %R 10.4153/CMB-1998-059-1 %F 10_4153_CMB_1998_059_1
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