JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 5-8.doi: 10.6040/j.issn.1671-9352.0.2016.365

Previous Articles     Next Articles

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

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

CLC Number: 

  • O153.5
[1] CAENEPPEEL S, GOYVAERTS I. Monoidal hom-hopf algebras[J]. Comm in Algebra, 2012, 40(6):1933-1950.
[2] CHEN Yuanyuan, WANG Zhongwei, ZHANG Liangyun. Integrals for monoidal Hom-Hopf algebras and their applications[J]. J Math Phys, 2013, 54(7):073515.
[3] LIU Ling, SHEN Bingliang. Radfords biproducts and Yetter-Drinfeld modules for monoidal Hom-Hopf algebras[J]. J Math Phys, 2014, 55(3):031701.
[4] 焦争鸣, 王栓宏, 赵文正. 交叉余积上的Hopf代数结构[J]. 数学学报, 2001,44(1):137-148. JIAO Zhengming, WANG Shuanhong, ZHAO Wenzheng. Hopf algebra structures on crossed coproducts[J]. Acta Mathematica Sinica, 2001,44(1):137-148.
[5] 陈全国, 王栓宏. 弱Hopf代数上的对角交叉积及其半单性[J]. 南京大学学报(数学半年刊), 2011,28(1):16-23. CHEN Quanguo, WANG Shuanhong. Diagonal crossed products over weak-Hopf algebras and their semisimplicity[J]. J Nanjing Univ, 2011, 28(1):16-23.
[6] LU Daowei, WANG Shuanhong. Crossed product and Galois extensions of monoidal Hom-Hopf algebra[J/OL].[2014-5-29]. http://arxiv. org/pdf/1405.7528v1.pdf.
[7] PANAITE F, VAN OYSTAEYEN F. L-R-smash product for(quasi-)Hopf algebra[J]. J Algebra, 2007, 309:168-191.
[8] MAJID S. Double bosonization of braided groups and the construction of[J]. Math Proc Cambridge Philos Soc, 1999, 125:151-192.
[9] SWEEDLE M E. Hopf algebras[M]. New York: Benjamin, 1969.
[1] LU Dao-wei, WANG Zhen. L-R smash product for bialgebroids [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(12): 32-35.
[2] ZHAO Xiao-fan, ZHANG Xiao-hui. Generalized Hom-Smash products over monoidal Hom-bialgebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 59-63.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!