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.
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
Keywords: derivation; generalized derivation; $*$-Jordan ideal; commutativity theorems
@article{CMUC_2013_54_4_a0,
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/}
}
TY - JOUR AU - Oukhtite, L. AU - Mamouni, A. AU - Ashraf, Mohammad TI - Commutativity theorems for rings with differential identities on Jordan ideals JO - Commentationes Mathematicae Universitatis Carolinae PY - 2013 SP - 447 EP - 457 VL - 54 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_2013_54_4_a0/ LA - en ID - CMUC_2013_54_4_a0 ER -
%0 Journal Article %A Oukhtite, L. %A Mamouni, A. %A Ashraf, Mohammad %T Commutativity theorems for rings with differential identities on Jordan ideals %J Commentationes Mathematicae Universitatis Carolinae %D 2013 %P 447-457 %V 54 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_2013_54_4_a0/ %G en %F CMUC_2013_54_4_a0
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/