Geodesic
A new approach to antisymmetric infinitesimal bialgebras
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 755-764.

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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.
DOI : 10.21136/CMJ.2023.0232-22
Classification : 16T10, 16T25, 17B38
Keywords: infinitesimal bialgebra; quasitriangular infinitesimal bialgebra 
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Ma, Tianshui; Li, Bei; Li, Jie; Chen, Miaoshuang. A new approach to antisymmetric infinitesimal bialgebras. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 755-764. doi : 10.21136/CMJ.2023.0232-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0232-22/

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