A note on \((\alpha,\beta)\)-derivations.

DOI10.1016/J.LAA.2009.12.008zbMath1188.16038OpenAlexW1985592444MaRDI QIDQ962090

Wenmin Zhang, Qing Meng, Cheng Jun Hou

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.008

zbMATH Keywords

idempotentsprime ringsmultiplicative derivationsinner derivationsPeirce decompositionsadditive derivations

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (4)

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ On multiplicative generalized derivations in 3-prime near-rings ⋮ When are multiplicative semi-derivations additive? ⋮ Unnamed Item

Cites Work

• When is a multiplicative derivation additive?
• Jordan derivations of triangular algebras
• Jordan maps on triangular algebras.
• Jordan maps of nest algebras
• Multiplicative mappings of operator algebras
• Additivity of Jordan maps on standard operator algebras
• When are Multiplicative Mappings Additive?
• Unnamed Item

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