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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  0, Vol. 6 Issue (100): 144-154    DOI: 10.1631/jzus.2005.AS0144
Computer & Information Science     
Rudiment of weak Doi-Hopf π-modules
JIA Ling, LI Fang
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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Abstract  The notion of weak Doi-Hopf π-datum and weak Doi-Hopf π-module are given as generalizations of an ordinary weak Doi-Hopf datum and weak Doi-Hopf module introduced in (Böhm, 2000), also as a generalization of a Doi-Hopf π-module introduced in (Wang, 2004). Then we also show that the functor forgetting action or coaction has an adjoint. Furthermore we explain how the notion of weak Doi-Hopf π-datum is related to weak smash product. This paper presents our preliminary results on weak Doi-Hopf group modules.

Key words： Weak semi-Hopf π-coalgebra      Weak Doi-Hopf π-modules     
Received: 21 March 2005     
CLC:  O153.3  
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JIA Ling
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Cite this article:

JIA Ling, LI Fang. Rudiment of weak Doi-Hopf π-modules. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 0, 6(100): 144-154.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.AS0144     OR     http://www.zjujournals.com/xueshu/zjus-a/Y0/V6/I100/144

[1]   Böhm, G., 2000. Doi-Hopf modules over weak Hopf algebras. Comm. Algebra, 28(10):4687-4698.
[2]   Böhm, G., Nill, F., Szlach
[3]   Virelizier, A., 2002. Hopf group-coalgebras. Journal of Pure and Applied Algebra, 171(1):75-122.
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