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Generalized Lie (Jordan) Triple Derivations on Arbitrary Triangular Algebras

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Abstract

In this paper, we give a description of Lie (Jordan) triple derivations and generalized Lie (Jordan) triple derivations of an arbitrary triangular algebra \({\mathfrak {A}}\) through a triangular algebra \({\mathfrak {A}}^{0},\) where \({\mathfrak {A}}^{0}\) is a triangular algebra constructed from the given triangular algebra \({\mathfrak {A}}\) using the notion of maximal left (right) ring of quotients such that \({\mathfrak {A}}\) is the subalgebra of \({\mathfrak {A}}^{0}\) having the same unity.

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Acknowledgements

The authors are indebted to the referee for his/her helpful comments and suggestions which have improved the article. The first author is partially supported by a research grant from NBHM (No. 02011/5/2020 NBHM(R.P.) R&D II/6243).

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Mohammad Ashraf, Mohd Shuaib Akhtar & Mohammad Afajal Ansari

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  1. Mohammad Ashraf
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  2. Mohd Shuaib Akhtar
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  3. Mohammad Afajal Ansari
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Correspondence to Mohd Shuaib Akhtar.

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Communicated by Shiping Liu.

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Ashraf, M., Akhtar, M.S. & Ansari, M.A. Generalized Lie (Jordan) Triple Derivations on Arbitrary Triangular Algebras. Bull. Malays. Math. Sci. Soc. 44, 3767–3776 (2021). https://doi.org/10.1007/s40840-021-01148-1

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  • DOI: https://doi.org/10.1007/s40840-021-01148-1

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