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Commutativity theorems for rings with differential identities on Jordan ideals

L. Oukhtite; A. Mamouni; Mohammad Ashraf — 2013

Commentationes Mathematicae Universitatis Carolinae

In this paper we investigate commutativity of ring $R$ with involution $^{'} *^{'}$ 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.

Witt group of Hermitian forms over a noncommutative discrete valuation ring.

Oukhtite, L. — 2005

International Journal of Mathematics and Mathematical Sciences

$σ$ -semisimple rings.

Boulagouaz, M.; Oukhtite, L. — 2001

Beiträge zur Algebra und Geometrie

Sur la continuité automatique des épimorphismes dans les $^{*}$ -algèbres de Banach.

Oukhtite, L.; Tajmouati, A.; Tidli, Y. — 2004

International Journal of Mathematics and Mathematical Sciences

Commutativity conditions on derivations and Lie ideals in $σ$ -prime rings.

Oukhtite, L.; Salhi, S.; Taoufiq, L. — 2010

Beiträge zur Algebra und Geometrie

Generalized derivations and commutativity of rings with involution.

Oukhtite, L.; Salhi, S.; Taoufiq, L. — 2010

Beiträge zur Algebra und Geometrie

Strong commutativity preserving maps on Lie ideals of semiprime rings.

Oukhtite, L.; Salhi, S.; Taoufiq, L. — 2008

Beiträge zur Algebra und Geometrie

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