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Local and 2-Local Derivations of p-Filiform Leibniz Algebras

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Abstract

In this paper, we study local and 2-local derivations of p-filiform Leibniz algebras, describe all local derivations of p-filiform non-Lie Leibniz algebras, and also show that there exist two-local derivations on these algebras that are not derivations.

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Authors and Affiliations

  1. Uzbekistan Academy of Sciences, V. I. Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan

    Sh. A. Ayupov

  2. Karakalpak State University named after Berdakh, Nukus, Uzbekistan

    K. K. Kudaibergenov

  3. National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan

    B. B. Yusupov

Authors
  1. Sh. A. Ayupov
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  2. K. K. Kudaibergenov
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  3. B. B. Yusupov
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Correspondence to Sh. A. Ayupov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 144, Proceedings of the Conference “Problems of Modern Topology and Its Applications” (May 11–12, 2017), Tashkent, Uzbekistan, 2018.

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Ayupov, S.A., Kudaibergenov, K.K. & Yusupov, B.B. Local and 2-Local Derivations of p-Filiform Leibniz Algebras. J Math Sci 245, 359–367 (2020). https://doi.org/10.1007/s10958-020-04697-1

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  • DOI: https://doi.org/10.1007/s10958-020-04697-1

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