Characterization of Lie multiplicative derivation on alternative rings

DOI10.1216/RMJ-2019-49-3-761zbMath1440.17026arXiv1802.04316WikidataQ127459771 ScholiaQ127459771MaRDI QIDQ2315276

Bruno Leonardo Macedo Ferreira, Henrique jun. Guzzo

Publication date: 2 August 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04316

zbMATH Keywords

prime alternative ringsLie multiplicative derivation

Mathematics Subject Classification ID

Alternative rings (17D05) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (9)

Commuting maps on alternative rings ⋮ Multiplicative Lie derivations on triangular n-matrix rings ⋮ \(\ast\)-Lie-Jordan-type maps on \(C^\ast\)-algebras ⋮ Reverse ∗-Jordan type maps on Jordan ∗-algebras ⋮ Multiplicative Lie-type derivations on alternative rings ⋮ Multiplicative Lie triple derivation of triangular 3-matrix rings ⋮ An approach between the multiplicative and additive structure of a Jordan ring ⋮ Generalized Lie-type derivations of alternative algebras ⋮ Lie maps on alternative rings preserving idempotents

Cites Work

• Lie derivable maps on \(B(X)\)
• Alternative rings with idempotent
• Lie maps on alternative rings
• Prime alternative rings. I, II
• Lie derivations of primitive rings
• Additivity ofn-Multiplicative Maps on Alternative Rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
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