Centralizing Automorphisms of Lie Ideals in Prime Rings
Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 510-514
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Let R be a prime ring of characteristic not equal to two and let T be an automorphism of R. If U is a Lie ideal of R such that T is nontrivial on U and xxT — xTx is in the center of R for every x in U, then U is contained in the center of R.
Mayne, Joseph H. Centralizing Automorphisms of Lie Ideals in Prime Rings. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 510-514. doi: 10.4153/CMB-1992-067-0
@article{10_4153_CMB_1992_067_0,
author = {Mayne, Joseph H.},
title = {Centralizing {Automorphisms} of {Lie} {Ideals} in {Prime} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {510--514},
year = {1992},
volume = {35},
number = {4},
doi = {10.4153/CMB-1992-067-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-067-0/}
}
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