L. Taoufiq

most citedCommutativity conditions on derivations and Lie ideals

σ

-prime rings

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math.RA2009★ 1 cited

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

L. Oukhtite, S. Salhi, L. Taoufiq

Let $R$ be a 2-torsion free $σ$ -prime ring, $U$ a nonzero square closed $σ$ -Lie ideal of $R$ and let $d$ be a derivation of $R$ . In this paper it is shown that: 1) If $d$ is centra…

math.RA2009

Strong commutativity preserving maps on Lie ideals of semiprime rings

L. Oukhtite, S. Salhi, L. Taoufiq

Let $R$ be a 2-torsion free semiprime ring and $U$ a nonzero square closed Lie ideal of $R$ . In this paper it is shown that if $f$ is either an endomorphism or an antihomomorphism…

Commutativity conditions on derivations and Lie ideals σ-prime rings

Strong commutativity preserving maps on Lie ideals of semiprime rings

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