Let M be a 2 and 3-torsion free prime Γ-ring, d a nonzero derivation on M and U a nonzero Lie ideal of M. In this paper it is proved that U is a central Lie ideal of M if d satisfies one of the following (i) d(U)⊂ Z, (ii) d(U)⊂ U and d²(U)=0, (iii) d(U)⊂ U, d²(U)⊂ Z.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1199,
author = {Nishteman N. Suliman and Abdul-Rahman H. Majeed},
title = {Lie ideals in prime $\Gamma$-rings with derivations},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {33},
year = {2013},
pages = {49-56},
zbl = {1288.16061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1199}
}
Nishteman N. Suliman; Abdul-Rahman H. Majeed. Lie ideals in prime Γ-rings with derivations. Discussiones Mathematicae - General Algebra and Applications, Tome 33 (2013) pp. 49-56. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1199/
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