Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras

Yue Gu, Shuanhong Wang and Tianshui Ma
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Yue Gu: School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211816, China
Shuanhong Wang: Shing-Tung Yau Center, School of Mathematics, Southeast University, Nanjing 210096, China
Tianshui Ma: School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

Mathematics, 2022, vol. 10, issue 3, 1-12

Abstract: We introduce and discuss the notions of Rota–Baxter bialgebra equation systems and Rota–Baxter Hopf algebras. Then we construct a lot of examples based on Hopf quasigroups.

Keywords: Rota–Baxter Hopf algebras; Rota–Baxter bialgebra equation systems; Hopf quasigroups; two-side Hopf quasimodule bialgebras (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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