Geodesic
Commutativity theorems for rings with differential identities on Jordan ideals
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 4, pp. 447-457

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In this paper we investigate commutativity of ring $R$ with involution $'\ast'$ which admits a derivation satisfying certain algebraic identities on Jordan ideals of $R$. Some related results for prime rings are also discussed. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.
Classification : 16N60, 16R50, 16U70, 16U80, 16W10, 16W25
Keywords: derivation; generalized derivation; $*$-Jordan ideal; commutativity theorems 
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     author = {Oukhtite, L. and Mamouni, A. and Ashraf, Mohammad},
     title = {Commutativity theorems for rings with differential identities on {Jordan} ideals},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {447--457},
     publisher = {mathdoc},
     volume = {54},
     number = {4},
     year = {2013},
     mrnumber = {3125069},
     zbl = {1299.16018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2013__54_4_a0/}
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Oukhtite, L.; Mamouni, A.; Ashraf, Mohammad. Commutativity theorems for rings with differential identities on Jordan ideals. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 4, pp. 447-457. http://geodesic.mathdoc.fr/item/CMUC_2013__54_4_a0/