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Lie (Jordan) derivations of arbitrary triangular algebras

  • Yu WangEmail author
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Abstract

In this paper we construct a triangular algebra from a given triangular algebra, using the notion of maximal left (right) ring of quotients. As an application we give a description of Lie (Jordan) derivations of arbitrary triangular algebras through the constructed triangular algebra.

Keywords

Triangular algebra Maximal left ring of quotients Lie derivation Jordan derivation Derivation 

Mathematics Subject Classification

16W25 16R60 
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Notes

Acknowledgements

The author is grateful to the referee for useful comments.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina

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