Commuting traces of biadditive mappings, commutativity-preserving mappings and Lie mappings
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- by Matej Brešar
- Trans. Amer. Math. Soc. 335 (1993), 525-546
- DOI: https://doi.org/10.1090/S0002-9947-1993-1069746-X
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Abstract:
Biadditive mappings $B: R \times R \to R$ where $R$ is a prime ring with certain additional properties, satisfying $B(x,x)x = xB(x,x)$ for all $x \in R$, are characterized. As an application we determine the structures of commutativity-preserving mappings, Lie isomorphisms, and Lie derivations of certain prime rings.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 335 (1993), 525-546
- MSC: Primary 16W25; Secondary 16N60, 16W10
- DOI: https://doi.org/10.1090/S0002-9947-1993-1069746-X
- MathSciNet review: 1069746