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Generalized Derivations of n-BiHom-Lie Algebras

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Algebraic Structures and Applications (SPAS 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 317))

Abstract

We  investigate generalized derivations of n-BiHom-Lie algebras. We introduce and study properties of derivations, \(( \alpha ^{s},\beta ^{r}) \)-derivations and generalized derivations. We also study quasiderivations of n-BiHom-Lie algebras. Generalized derivations of \((n+1)\)-BiHom-Lie algebras induced by n-BiHom-Lie algebras are also considered.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of South Florida, Tampa, FL, 33620, USA

    Amine Ben Abdeljelil & Mohamed Elhamdadi

  2. Universidade Federal do ABC, CMCC, Santo André, Brazil

    Ivan Kaygorodov

  3. IRIMAS-département de Mathématiques, Université de Haute Alsace, Mulhouse, France

    Abdenacer Makhlouf

Authors
  1. Amine Ben Abdeljelil
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  2. Mohamed Elhamdadi
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  3. Ivan Kaygorodov
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  4. Abdenacer Makhlouf
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Corresponding author

Correspondence to Abdenacer Makhlouf .

Editor information

Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

  3. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Ben Abdeljelil, A., Elhamdadi, M., Kaygorodov, I., Makhlouf, A. (2020). Generalized Derivations of n-BiHom-Lie Algebras. In: Silvestrov, S., Malyarenko, A., Rančić, M. (eds) Algebraic Structures and Applications. SPAS 2017. Springer Proceedings in Mathematics & Statistics, vol 317. Springer, Cham. https://doi.org/10.1007/978-3-030-41850-2_4

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