IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i14p2237-d1698891.html
   My bibliography  Save this article

Para-Associative Algebroids

Author

Listed:
  • Andrew James Bruce

    (Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warsaw, Poland)

Abstract

We introduce para-associative algebroids as vector bundles whose sections form a ternary algebra with a generalised form of associativity. We show that a necessary and sufficient condition for local triviality is the existence of a differential connection, i.e., a connection that satisfies the Leibniz rule over the ternary product.

Suggested Citation

  • Andrew James Bruce, 2025. "Para-Associative Algebroids," Mathematics, MDPI, vol. 13(14), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2237-:d:1698891
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/14/2237/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/14/2237/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:13:y:2025:i:14:p:2237-:d:1698891. 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.