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.

中文翻译：

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反对称无穷小双代数的新方法

我们提出了扩展反对称无穷小双代数的反协变双代数的概念，并提供了它的一些等效特征。我们还证明了反联想的 Yang-Baxter 对可以产生特殊的 Rota-Baxter 系统。