论文标题
Rota-Bater Paried Comodule和Rota-Bater配对HOPF模块
Rota-Bater paried comodule and Rota-Bater paired Hopf module
论文作者
论文摘要
在本文中，我们介绍了Rota-baxter配对的共素的概念，这是[14]中rota-baxter配对模块的双重的。我们主要讨论Rota-Baxter配对的综合物的某些特性，尤其是我们给出通用rota-baxter配对共量模块的表征，该综合量具有重要的应用，用于构建Rota-Baxter comodules。此外，我们在HOPF代数，弱Hopf代数，弱HOPF模块，Dimodules，相对HOPF模块和Rota-Baxter配对的共综合子上构建了Rota-Baxter配对的共插针。然后，我们最终通过将rota-baxter配对模块与rota-baxter配对的共插针结合，并提供通用rota-baxter配对的HOPF模块的结构定理，从而介绍了Rota-Baxter配对的HOPF模块的概念。
In this paper, we introduce the conception of Rota-Baxter paired comodules, which is dual to Rota-Baxter paired modules in [14]. We mainly discuss some properties of Rota-Baxter paired comodules, especially we give the characterization of generic Rota-Baxter paired comodules, which has important application for the construction of Rota-Baxter comodules. Moreover, we construct Rota-Baxter paired comodules on Hopf algebras, weak Hopf algebras, weak Hopf modules, dimodules, relative Hopf modules and Rota-Baxter paired comodules. And then we finally introduce the conception of Rota-Baxter paired Hopf modules by combining Rota-Baxter paired module with Rota-Baxter paired comodule, and give the structure theorem of generic Rota-Baxter paired Hopf modules.
