Czechoslovak Mathematical Journal, Vol. 73, No. 3, pp. 755-764, 2023
A new approach to antisymmetric infinitesimal bialgebras
Tianshui Ma, Bei Li, Jie Li, Miaoshuang Chen
Received June 4, 2022. Published online May 15, 2023.
Abstract: We present a notion of an anti-covariant bialgebra extending the anti-symmetric infinitesimal bialgebra and also provide some equivalent characterizations of it. We also prove that an anti-associative Yang-Baxter pair can produce a special Rota-Baxter system.
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Affiliations: Tianshui Ma (corresponding author), Bei Li, Jie Li, Henan Normal University, 46# East of Construction Road, Xinxiang 453007, P. R. China, e-mail: matianshui@htu.edu.cn, libei@stu.htu.edu.cn, lijie@stu.htu.edu.cn; Miaoshuang Chen, International Education College, Henan University, 85 Minglun Street, Kaifeng 475004, P. R. China, e-mail: samantha0111@163.com