A new approach to antisymmetric infinitesimal bialgebras. (English) Zbl 07729536
Summary: 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.
MSC:
| 16T10 | Bialgebras |
| 17B38 | Yang-Baxter equations and Rota-Baxter operators |
| 16T25 | Yang-Baxter equations |
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