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arXiv · 2109.01204

Lie higher derivations of arbitrary triangular algebras

Mohammad Ashraf·Mohammad Afajal Ansari
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Abstract

Motivated by the works of Wang [Y. Wang, \textit{Lie (Jordan) derivations of arbitrary triangular algebras,} Aequationes Mathematicae, \textbf{93} (2019), 1221-1229] and Moafian et al. [F. Moafian and H. R. Ebrahimi Vishki, \textit{Lie higher derivations on triangular algebras revisited,} Filomat, \textbf{30}(12) (2016), 3187-3194.], we shall study Lie higher derivations of arbitrary triangular algebras. In fact, it is shown that every Lie higher derivation on an arbitrary triangular algebra is proper, using the notion of maximal left (right) ring of quotients.

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Mohammad Ashraf, Mohammad Afajal Ansari. 2021-09-02. Lie higher derivations of arbitrary triangular algebras. https://arxiv.org/abs/2109.01204

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