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Multiplier Left Hopf Algebras

Author

Listed:
  • Chunxiao Yan

    (School of Mathematics, Southeast University, Nanjing 210096, China)

  • Shuanhong Wang

    (Shing-Tung Yau Center, School of Mathematics, Southeast University, Nanjing 210096, China)

Abstract

In this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras. In particular, we investigate the relation between the notion of the Van Daele’s left multiplier Hopf algebras and the one of our multiplier left Hopf algebras. Finally, we determine the case when a multiplier left Hopf algebra becomes a multiplier Hopf algebra.

Suggested Citation

  • Chunxiao Yan & Shuanhong Wang, 2025. "Multiplier Left Hopf Algebras," Mathematics, MDPI, vol. 13(7), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1138-:d:1624246
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