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山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (2): 5-8.doi: 10.6040/j.issn.1671-9352.0.2016.365

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Monoidal Hom-双代数上的L-R-smash积

周楠,张涛,鹿道伟   

  1. 东南大学数学系, 江苏 南京 210096
  • 收稿日期:2016-07-23 出版日期:2017-02-20 发布日期:2017-01-18
  • 作者简介:周楠(1991— ), 男, 博士研究生, 研究方向为Hopf代数. E-mail:zhounan0805@163.com
  • 基金资助:
    江苏省普通高校研究生科研创新计划项目(KYLX_0109)

L-R-smash products over monoidal Hom-bialgebras

ZHOU Nan, ZHANG Tao, LU Dao-wei   

  1. Department of mathematics, Southeast University, Nanjing 210096, Jiangsu, China
  • Received:2016-07-23 Online:2017-02-20 Published:2017-01-18

摘要: 构造了Monoidal Hom-双代数上的L-R-smash积,并得到了L-R-smash积与双边smash积之间的一种同构对应。

关键词: 双模代数, 双边smash积, L-R-smash积, Monoidal Hom-双代数

Abstract: The L-R-smash products over monoidal Hom-bialgebras is constructed. Furthermore, it is proved that the L-R-smash product is isomorphic with two-sided smash product.

Key words: Monoidal Hom-bialgebras, bimodule algebra, two-sided smash product, L-R-smash products

中图分类号: 

  • O153.5
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[1] 鹿道伟,王珍. 双代数胚上的L-R smash积[J]. 山东大学学报(理学版), 2017, 52(12): 32-35.
[2] 赵晓凡, 张晓辉. MonoidalHom-双代数上的广义Hom-smash积[J]. 山东大学学报(理学版), 2015, 50(10): 59-63.
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