Geodesic
Derivations on a Lie Ideal
Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 280-286

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DOI

In this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ring. Moreover in the last case if the division ring is non commutative, then d is an inner derivation of R.
DOI : 10.4153/CMB-1988-041-2
Mots-clés : 16A72, 16A12 
Mauceri, Silvana; Misso, Paola. Derivations on a Lie Ideal. Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 280-286. doi: 10.4153/CMB-1988-041-2
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     title = {Derivations on a {Lie} {Ideal}},
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     year = {1988},
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     number = {3},
     doi = {10.4153/CMB-1988-041-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-041-2/}
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