Please wait a minute...
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (Supplement 1): 144-154    DOI: 10.1007/BF02887230
Computer and Information Science     
Rudiment of weak Doi-Hopf π-modules
JIA Ling, LI Fang
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

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 wordsWeak semi-Hopf π-coalgebra      Weak Doi-Hopf π-modules     
CLC:  O153.3  
Cite this article:

JIA Ling, LI Fang. Rudiment of weak Doi-Hopf π-modules. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(Supplement 1): 144-154.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1007/BF02887230     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/ISupplement 1/144

[1] ZENG Qing-yi. On generalized extending modules[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(6): 939-945.
[2] ZHAO Li-hui, ZHAO Wen-zheng. The quasitriangular structures of biproduct Hopf algebras[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(1 ): 21-.
[3] SHI Mei-hua. Almost split sequences for symmetric non-semisimple Hopf algebras[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(6 ): 22-.
[4] Zeng Qing-yi, Shi Mei-hua. On closed weak supplemented modules[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(2 ): 16-.
[5] JIA Ling, LI Fang. Rudiment of weak Doi-Hopf π-modules[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 0, 6(100): 144-154.