Geodesic
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.
DOI : 10.4153/CMB-1992-067-0
Mots-clés : 16A68, 16A70, 16A72 
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
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[1] 1. Awtar, R., Lie and Jordan structures in prime rings with derivations, Proc. Amer. Math. Soc. 41(1973), 67–74. Google Scholar

[2] 2. Bell, H. E. and Martindale, W. S., III, Centralizing mappings of semiprime rings, Canad. Math. Bull. 30(1987), 92–101. Google Scholar

[3] 3. Bergen, J., Herstein, I. N. and Kerr, J. W., Lie ideals and derivations of prime rings, J. Algebra 71(1981), 259–267. Google Scholar

[4] 4. Lee, P. H. and Lee, T. K., Lie ideals of prime rings with derivations, Bull. Inst. Math. Acad. Sinica. 11(1983), 75–80. Google Scholar

[5] 5. Mayne, J., Centralizing automorphisms of prime rings, Canad. Math. Bull. 19(1976), 113–115. Google Scholar

[6] 6. Mayne, J., Centralizing mappings of prime rings, Canad. Math. Bull. 27(1984), 122–126. Google Scholar

[7] 7. Posner, E., Derivations in prime rings, Proc. Amer. Math. Soc. 8(1957), 1093–1100. Google Scholar

[8] 8. Smiley, M. F., Remarks on the commutativity of rings, Proc. Amer. Math. Soc. 10(1959), 466–470. Google Scholar

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