Commutativity theorems for rings with differential identities on Jordan ideals
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 4, pp. 447-457 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     year = {2013},
     volume = {54},
     number = {4},
     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/