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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (10): 59-63.doi: 10.6040/j.issn.1671-9352.0.2014.426

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MonoidalHom-双代数上的广义Hom-smash积

赵晓凡, 张晓辉   

  1. 东南大学数学系, 江苏 南京 210096
  • 收稿日期:2014-09-22 修回日期:2015-03-27 出版日期:2015-10-20 发布日期:2015-10-21
  • 作者简介:赵晓凡(1986-),女,博士研究生,研究方向为Hopf代数及其表示理论.E-mail:zhaoxiaofan8605@126.com
  • 基金资助:
    国家自然科学基金资助项目(11371088);江苏省普通高校研究生科研创新计划项目(KYZZ_0060);江苏省自然科学基金项目(BK2012736)

Generalized Hom-Smash products over monoidal Hom-bialgebras

ZHAO Xiao-fan, ZHANG Xiao-hui   

  1. Department of Mathematics, Southeast University, Nanjing 210096, Jiangsu, China
  • Received:2014-09-22 Revised:2015-03-27 Online:2015-10-20 Published:2015-10-21

摘要: 作为monoidal Hom-双代数上的Hom-smash积和双代数上的广义smash积的推广,构造了monoidal Hom-双代数上的广义Hom-smash积,并研究了其和Radford Hom-双积的关系,即一个广义Hom-smash积是一个左Radford Hom-双积-Hom-余模代数。

关键词: monoidal Hom-双代数, Radford Hom-双积, 广义Hom-smash积

Abstract: The generalized Hom-smash products over monoidal Hom-bialgebras are investigated, and a generalized Hom-smash product is proved to be a left Radford's Hom-biproduct-Hom-comodule algebra.

Key words: monoidal Hom-bialgebras, generalized Hom-smash products, Radford's Hom-biproducts

中图分类号: 

  • O153.5
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[1] 周楠,张涛,鹿道伟. Monoidal Hom-双代数上的L-R-smash积[J]. 山东大学学报(理学版), 2017, 52(2): 5-8.
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