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A new approach to antisymmetric infinitesimal bialgebras

Tianshui Ma; Bei Li; Jie Li; Miaoshuang Chen — 2023

Czechoslovak Mathematical Journal

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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