论文标题
操作的组，差分组和旋转式 - 巴克斯特组，重点是自由对象
Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects
论文作者
论文摘要
具有各种类型的运算符的组，特别是最近引入的Rota-Baxter组，已经产生了著名的兴趣，并与数值积分，Yang-Baxter方程，集成系统和后HOPF后代数相关。本文给出了操作组的一般概念，并提供了自由操作组，自由差异组和自由rota-baxter组的明确结构。
Groups with various types of operators, in particular the recently introduced Rota-Baxter groups, have generated renowned interest with close connections to numerical integrals, Yang-Baxter equation, integrable systems and post-Hopf algebras. This paper gives the general notion of operated groups and provides explicit constructions of free operated groups, free differential groups and free Rota-Baxter groups.
