On \(\lambda\)-\(k\)-skew Lie product involving commuting additive maps on prime \(\ast\)-algebras

DOI10.1142/S0219498825500422MaRDI QIDQ6580171

Abdul Nadim Khan, Husain Alhazmi, Shakir Ali, M. Arif Raza

Publication date: 29 July 2024

Published in: Journal of Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

\(k\)-commuting mapprime \(\ast\)-algebra\(\lambda\)-\(k\)-skew Lie product

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Cites Work

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• Nonlinear maps preserving Jordan \(\ast\)-products
• Prime rings satisfying a generalized polynomial identity
• Prime rings with involution and generalized polynomial identities
• On rings with involution equipped with some new product
• Strong skew commutativity preserving maps on rings.
• Commuting traces and Lie isomorphisms on generalized matrix algebras
• Commuting Maps of Triangular Algebras
• On Jordan *-derivations and an application
• ∗-Differential Identities of Prime Rings with Involution
• Linear maps preserving elements annihilated by the polynomial XY-YX^†
• k-skew Lie products on prime rings with involution

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