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Multiplicative Lie triple derivation of triangular 3-matrix rings

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Abstract

Let \({\mathfrak {T}}={\mathfrak {T}}_3(\mathrm {R}_i, \mathrm {M}_{ij})\) be a triangular 3-matrix ring. In the present paper, we study of multiplicative Lie triple derivation on triangular 3-matrix rings and prove that every multiplicative Lie triple derivation on triangular 3-matrix rings can be written as a sum of an additive derivation and a center valued map vanishing at each second commutator.

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Acknowledgements

The author would like to thank the anonymous referees for careful reading and the helpful comments improving this paper. This research is supported by Dr. D. S. Kothari Postdoctoral Fellowship under University Grants Commission (Grant No. F.4-2/2006 (BSR)/MA/18-19/0014), awarded to the author.

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  1. Department of Applied Sciences & Humanities, Jamia Millia Islamia, New Delhi, 110025, India

    Aisha Jabeen & Musheer Ahmad

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  1. Aisha Jabeen
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  2. Musheer Ahmad
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Correspondence to Aisha Jabeen.

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Jabeen, A., Ahmad, M. Multiplicative Lie triple derivation of triangular 3-matrix rings. Ann Univ Ferrara 67, 293–308 (2021). https://doi.org/10.1007/s11565-021-00374-6

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  • DOI: https://doi.org/10.1007/s11565-021-00374-6

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