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Rota–Baxter operators on BiHom-associative algebras and related structures

Volume 161 / 2020

Ling Liu, Abdenacer Makhlouf, Claudia Menini, Florin Panaite Colloquium Mathematicum 161 (2020), 263-294 MSC: Primary 17D30; Secondary 15A04. DOI: 10.4064/cm7877-5-2019 Published online: 31 March 2020

Abstract

The purpose of this paper is to study Rota–Baxter operators for BiHom-associative algebras. Moreover, we introduce and discuss the properties of the notions of BiHom-(tri)dendriform algebra, BiHom-Zinbiel algebra and BiHom-quadri-algebra. We construct the free Rota–Baxter BiHom-associative algebra and present some observations about categories and functors related to Rota–Baxter structures.

Authors

  • Ling LiuCollege of Mathematics, Physics
    and Information Engineering
    Zhejiang Normal University
    Jinhua 321004, China
    e-mail
  • Abdenacer MakhloufLaboratoire de Mathématiques
    Informatique et Applications
    Université de Haute Alsace
    4, rue des frères Lumière
    F-68093 Mulhouse, France
    e-mail
  • Claudia MeniniDepartment of Mathematics
    University of Ferrara
    Via Machiavelli 35
    I-44121 Ferrara, Italy
    e-mail
  • Florin PanaiteInstitute of Mathematics
    Romanian Academy
    PO-Box 1-764
    RO-014700 Bucureşti, Romania
    e-mail

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