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On the BiHom-Type Nonlinear Equations

Author

Listed:
  • Hui Wu

    (School of Mathematical Sciences, Qufu Normal University, Qfnu 273165, China)

  • Xiaohui Zhang

    (School of Mathematical Sciences, Qufu Normal University, Qfnu 273165, China)

Abstract

In this paper, the Heisenberg doubles and Long dimodules of a BiHom-Hopf algebra are introduced. Then, we discussed the relation between BiHom-Hopf equation and BiHom-pentagon equation, and we obtain the solutions of BiHom-Hopf equation from Heisenberg doubles. We also showed that the parametric generalized Long dimodules can provide the solutions of BiHom-Yang-Baxter equation and generalized D -equation.

Suggested Citation

  • Hui Wu & Xiaohui Zhang, 2022. "On the BiHom-Type Nonlinear Equations," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4360-:d:978236
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