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Some Results on Rota–Baxter Monoidal Hom-Algebras

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Abstract

We give constructions of Rota–Baxter monoidal Hom-(co)algebras from Hom-Hopf module (co)algebras, and then introduce the concept of Rota–Baxter monoidal Hom-bialgebras. Furthermore, we consider the relations between Rota–Baxter monoidal Hom-systems and monoidal Hom-dendriform algebras, and also derive the structures of pre-Lie Hom-(co)algebras via Rota–Baxter monoidal Hom-(co)algebras of different weight.

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Acknowledgements

The authors are deeply indebted to the referee for his/her very useful suggestions and some improvements to the original manuscript. This work was partially supported by the Foundation for Young Key Teacher by Henan Province (No. 2015GGJS-088) and the Natural Science Foundation of Henan Province (No. 17A110007).

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Authors and Affiliations

  1. Department of Mathematics School of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China

    Tianshui Ma & Huihui Zheng

  2. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China

    Tianshui Ma

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  1. Tianshui Ma
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  2. Huihui Zheng
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Correspondence to Tianshui Ma.

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Ma, T., Zheng, H. Some Results on Rota–Baxter Monoidal Hom-Algebras. Results Math 72, 145–170 (2017). https://doi.org/10.1007/s00025-016-0641-9

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  • DOI: https://doi.org/10.1007/s00025-016-0641-9

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