OPERATED GROUPS, DIFFERENTIAL GROUPS AND ROTA-BAXTER GROUPS WITH AN EMPHASIS ON THE FREE OBJECTS

作     者：Gao, Xing Guo, Li Liu, Yanjun Zhu, Zhi-Cheng 

作者机构：School of Mathematics and Statistics Key Laboratory of Applied Mathematics and Complex Systems Lanzhou University Lanzhou730000 China Department of Mathematics and Computer Science Rutgers University NewarkNJ07102 United States Department of Mathematics Jiangxi Normal University Nanchang China School of Mathematics and Statistics Lanzhou University Gansu Lanzhou730000 China 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2022年

核心收录：

摘      要：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 *** Codes 22E60, 08B20, 20D45, 17B38, 17B40 Copyright © 2022, The Authors. All rights reserved.