Geodesic
Lie and Jordan structures of differentially semiprime rings
Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 13-31.

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Properties of Lie and Jordan rings (denoted respectively by $R^L$ and $R^J$) associated with an associative ring $R$ are discussed. Results on connections between the differentially simplicity (respectively primeness, semiprimeness) of $R$, $R^L$ and $R^J$ are obtained.
Keywords: derivation, semiprime ring, Lie ring. 
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Orest D. Artemovych; Maria P. Lukashenko. Lie and Jordan structures of differentially semiprime rings. Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 13-31. http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a2/

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