On the BiHom-Type Nonlinear Equations

Hui Wu and Xiaohui Zhang ()
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Hui Wu: School of Mathematical Sciences, Qufu Normal University, Qfnu 273165, China
Xiaohui Zhang: School of Mathematical Sciences, Qufu Normal University, Qfnu 273165, China

Mathematics, 2022, vol. 10, issue 22, 1-15

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.

Keywords: BiHom-Hopf algebra; BiHom-Hopf equation; BiHom-pentagon equation; generalized ?-equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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