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[1] Guo ShuangjianDong LihongWang Shuanhong,. Morita context of weak Hopf group coalgebras [J]. Journal of Southeast University (English Edition), 2012, 28 (3): 372-374. [doi:10.3969/j.issn.1003-7985.2012.03.021]
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Morita context of weak Hopf group coalgebras()
弱Hopf群余代数的Morita关系

Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
28
Issue:
2012 3
Page:
372-374
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2012-09-30

Info

Title:
Morita context of weak Hopf group coalgebras
弱Hopf群余代数的Morita关系
Author(s):
Guo ShuangjianDong LihongWang Shuanhong
Department of Mathematics, Southeast University, Nanjing 211189, China
郭双建, 董丽红, 王栓宏
东南大学数学系, 南京211189
Keywords:
weak Hopf π-coalgebra;  Morita context;  weak π-H-comodule algebra;  weak smash product
弱Hopf π-余代数;  Morita关系;  弱π-H-余模代数;  弱smash积
PACS:
O153.3
DOI:
10.3969/j.issn.1003-7985.2012.03.021
Abstract:
The concept of weak Hopf group coalgebras is a natural generalization of the notions of both weak Hopf algebras(quantum groupoids)and Hopf group coalgebras. Let π be a group. The Morita context is considered in the sense of weak Hopf π-coalgebras. Let H be a finite type weak Hopf π-coalgebra, and A a weak right π-H-comodule algebra. It is constructed that a Morita context connects A#H* which is a weak smash product and the ring of coinvariants AcoH. This result is the generalization of that of Wang’s in the paper “Morita contexts, π-Galois extensions for Hopf π-coalgebras” in 2006. Furthermore, the result is important for constructing weak π-Galois extensions.
弱Hopf群余代数是弱Hopf代数和Hopf群余代数的自然推广.设π是一个群, 在弱Hopf π-余代数前提下考虑Morita关系, 设H是有限型弱Hopf群余代数, A是弱右π-H-余模代数, 构造了弱smash积A#H*和余不动点AcoH的Morita关系.这一结果推广了Wang发表于2006年的Morita contexts, π-Galois extensions for Hopf π-coalgebras一文中的结论.此结果对于构造弱π-Galois扩张是非常重要的.

References:

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Memo

Memo:
Biographies: Guo Shuangjian(1981—), male, graduate; Wang Shuanhong(corresponding author), male, doctor, professor, shuanhwang2002@yahoo.com.
Foundation item: The Scientific Research Innovation Project for College Graduates in Jiangsu Province(No.CXLX_0094).
Citation: Guo Shuangjian, Dong Lihong, Wang Shuanhong. Morita context of weak Hopf group coalgebras[J].Journal of Southeast University(English Edition), 2012, 28(3):372-374.[doi:10.3969/j.issn.1003-7985.2012.03.021]
Last Update: 2012-09-20