IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i18p3222-d907676.html
   My bibliography  Save this article

Rota-Baxter Systems for BiHom-Type Algebras

Author

Listed:
  • Qiaoling Guo

    (Shanghai Technical Institute of Electronics & Information, Shanghai 201411, China)

  • Ling Liu

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China)

  • Jiafeng Lü

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China)

  • Bingliang Shen

    (Zhejiang College, Shanghai University of Finance and Economics, Jinhua 321013, China)

  • Xingting Wang

    (Department of Mathematics, Temple University, Philadelphia, PA 19122, USA
    Department of Mathematics, Howard University, Washington, DC 20059, USA)

Abstract

The purpose of this paper is to study Rota–Baxter systems for BiHom-type algebras such as BiHom analogues of associative, dendriform, quadri algebras. It is shown that BiHom-dendriform structures of a particular kind are equivalent to Rota–Baxter systems. It is shown further that a Rota–Baxter system induces a weak BiHom-pseudotwistor which can be held responsible for the existence of a new product on the underlying BiHom-associative algebra. Moreover, we study the relationship between BiHom-quadri-algebras and Rota–Baxter systems for BiHom-dendriform algebras.

Suggested Citation

  • Qiaoling Guo & Ling Liu & Jiafeng Lü & Bingliang Shen & Xingting Wang, 2022. "Rota-Baxter Systems for BiHom-Type Algebras," Mathematics, MDPI, vol. 10(18), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3222-:d:907676
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/18/3222/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/18/3222/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3222-:d:907676. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.