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Modules over double crossproducts of Skew-Hopf pairs

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Abstract

The purpose is to study modules of double crossproducts D(X, A) of Skew-Hopf pairs (X, A). A sufficient and necessary condition for M to be D(X, A)-mod is shown. Relations between D (X, A)-mod and quantam Yang-Baxter A-mod or X-mod are revealed.

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Authors and Affiliations

  1. Department of Mathematics, Huizhou University, 516015, Huizhou, P R China

    Pan Qing-nian

  2. Department of Applied Mathematics, South China University of Technology, 510641, Guangzhou, P R China

    Hao Zhi-feng

Authors
  1. Pan Qing-nian
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  2. Hao Zhi-feng
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Additional information

Communicated by WU Xue-mou

Foundation items: the Natural Science Foundation of Guangdong Province (000463); the Natural Science Foundation of Huizhou University (010201)

Biographies: PAN Qing-nian (1958-), Associate Professor (E-mail: Panqn@21cn.com); HAO Zhi-feng (1967-), Professor, Doctor

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Qing-nian, P., Zhi-feng, H. Modules over double crossproducts of Skew-Hopf pairs. Appl Math Mech 23, 828–834 (2002). https://doi.org/10.1007/BF02456979

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  • DOI: https://doi.org/10.1007/BF02456979

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