Enveloping Actions and Duality Theorems for Partial Twisted Smash Products

被引:0
|
作者
Guo, Shuangjian [1 ]
Zhang, Xiaohui [2 ]
Ke, Yuanyuan [3 ]
Li, Yizheng [1 ]
机构
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Jianghan Univ, Sch Artificial Intelligence, Wuhan 430056, Peoples R China
关键词
Enveloping action; partial twisted smash product; Morita context; duality theorem; ALGEBRAS; (CO)ACTIONS;
D O I
10.2298/FIL2010217G
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we first generalize the theorem about the existence of an enveloping action to a partial twisted smash product. Then we construct a Morita context between the partial twisted smash product and the twisted smash product related to the enveloping action. Finally, we present versions of the duality theorems of Blattner-Montgomery for partial twisted smash products.
引用
收藏
页码:3217 / 3227
页数:11
相关论文
共 50 条
  • [31] The global dimension of L-R twisted smash products
    P. Zhang
    Q. Li
    L. Zhang
    [J]. Siberian Mathematical Journal, 2013, 54 : 951 - 958
  • [32] On Twisted Smash Products of Monoidal Hom-Hopf Algebras
    Liu, Ling
    Guo, Qiao-ling
    [J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (10) : 4140 - 4164
  • [33] Duality theorem for weak L-R smash products
    Zhou Xiao-yan
    Li Qiang
    Zhang Liang-yun
    [J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (04) : 481 - 488
  • [34] Duality theorem for weak L-R smash products
    ZHOU Xiaoyan LI Qiang ZHANG Liangyun Department of Mathematics Nanjing Agricultural University Nanjing China
    [J]. Applied Mathematics:A Journal of Chinese Universities(Series B)., 2010, 25 (04) - 488
  • [35] SMASH PRODUCTS, INNER ACTIONS AND QUOTIENT-RINGS
    COHEN, M
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1986, 125 (01) : 45 - 66
  • [36] The global dimension of L-R twisted smash products
    Zhang, P.
    Li, Q.
    Zhang, L.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (05) : 951 - 958
  • [37] On the Semiprimitivity and Semiprimality Problems for Partial Smash Products
    Cavalheiro, Rafael
    Sant'Ana, Alveri
    [J]. ALGEBRA COLLOQUIUM, 2018, 25 (01) : 1 - 30
  • [38] On braided Hopf algebra structures over the twisted smash products
    Wang, SH
    [J]. COMMUNICATIONS IN ALGEBRA, 1999, 27 (11) : 5561 - 5573
  • [39] Duality theorem for weak L-R smash products
    ZHOU Xiao-yan LI Qiang ZHANG Liang-yun Department of Mathematics
    [J]. Applied Mathematics:A Journal of Chinese Universities, 2010, (04) : 481 - 488
  • [40] Duality theorem for weak L-R smash products
    Xiao-yan Zhou
    Qiang Li
    Liang-yun Zhang
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 481 - 488