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BiHom-NS-Algebras, Twisted Rota–Baxter Operators and Generalized Nijenhuis Operators

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Abstract

The purpose of this paper is to introduce and study BiHom-NS-algebras, which are a generalization of NS-algebras using two homomorphisms. Moreover, we discuss their relationships with twisted Rota–Baxter operators in a BiHom-associative context. Furthermore, we introduce a generalization of Nijenhuis operators that lead to BiHom-NS-algebras along BiHom-associative algebras.

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Funding

Ling Liu was supported by the NSF of China (No. 12071441). Abdenacer Makhlouf was partially supported by GDRI Eco-Math. This paper was written while Claudia Menini was a member of the “National Group for Algebraic and Geometric Structures and their Applications" (GNSAGA-INdAM) and was partially supported by MIUR within the National Research Project PRIN 2017. Florin Panaite was partially supported by a Grant from UEFISCDI, project number PN-III-P4-PCE-2021-0282.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, China

    Ling Liu

  2. IRIMAS-Département de Mathématiques, Université de Haute Alsace, 18, rue des Frères Lumière, 68093, Mulhouse, France

    Abdenacer Makhlouf

  3. University of Ferrara, Department of Mathematics and Computer Science, Via Machiavelli 30, 44121, Ferrara, Italy

    Claudia Menini

  4. Institute of Mathematics of the Romanian Academy, PO-Box 1-764,, 014700, Bucharest, Romania

    Florin Panaite

Authors
  1. Ling Liu
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  2. Abdenacer Makhlouf
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  3. Claudia Menini
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  4. Florin Panaite
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All authors contributed to the study conception and design. All authors read and approved the final manuscript

Corresponding author

Correspondence to Florin Panaite.

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Liu, L., Makhlouf, A., Menini, C. et al. BiHom-NS-Algebras, Twisted Rota–Baxter Operators and Generalized Nijenhuis Operators. Results Math 78, 251 (2023). https://doi.org/10.1007/s00025-023-02024-z

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  • DOI: https://doi.org/10.1007/s00025-023-02024-z

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