JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (12): 24-30.doi: 10.6040/j.issn.1671-9352.0.2023.389

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A structure theorem of post-Hopf modules over a cocommutative post-Hopf algebra

WANG Zhongwei   

  1. School of Science, Jinling University of Science and Technology, Nanjing 211169, Jiangsu, China
  • Published:2024-12-12

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Abstract: In this paper, we mainly give a structure theorem of post-Hopf modules over a cocommutative post-Hopf algebra. Meanwhile, we construct a Hopf module structure of a post-Hopf modules over a cocommutative post-Hopf algebra, and construct a post-Hopf module structure of a Hopf module by the aid of relative Rota-Baxter operator with respect to a module bialgebra.

Key words: post-Hopf algebra, cocommutative, post-Hopf module, structure theorem, relative Rota-Baxter operator

CLC Number: 

  • O153.3
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