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- W2761370894 abstract "In this paper, we introduce the concept of a Rota-Baxter paired module to study Rota-Baxter modules without necessarily a Rota-Baxter operator. We obtain two characterizations of Rota-Baxter paired modules, and give some basic properties of Rota-Baxter paired modules. Beginning with the connection between the notion of integrals in the representations of Hopf algebra and of the notion of an integral algebra as a motivation and special case of Rota-Baxter algebra of weight zero, we obtain a large number of Rota-Baxter paired modules from Hopf related algebras and modules, including semisimple Hopf algebras, weak Hopf algebras, Long bialgebras, quasitriangular Hopf algebras, weak Hopf modules, dimodules and Doi-Hopf modules. Some of them give new examples of Rota-Baxter algebras." @default.
- W2761370894 created "2017-10-20" @default.
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- W2761370894 date "2017-10-10" @default.
- W2761370894 modified "2023-09-26" @default.
- W2761370894 title "Rota-Baxter paired modules and their constructions from Hopf algebras" @default.
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- W2761370894 doi "https://doi.org/10.48550/arxiv.1710.03880" @default.
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