Fundamental Theorems of Weak Doi–Hopf Modules and Semisimple Weak Smash Product Hopf Algebras
Fundamental Theorems of Weak Doi–Hopf Modules and Semisimple Weak Smash Product Hopf Algebras
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DOI：
10.1081/agb-120039396
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发表时间：
2004-12
影响因子：
0.7
通讯作者：
Zhang Liang-yun;Zhu Sheng-lin
中科院分区：
文献类型：
--
作者：
Zhang Liang-yun;Zhu Sheng-lin
摘要 本文主要给出了弱Doi-Hopf模的基本定理，它不仅推广了弱Hopf模的基本定理，而且推广了相关Hopf模的基本定理。并且给出了弱粉碎积代数是弱双代数的充要条件，以及弱粉碎积代数是半单弱Hopf代数的充分条件。
Abstract This paper, mainly gives a Fundamental Theorem of weak Doi–Hopf modules, which is not only generalizes the Fundamental Theorem of weak Hopf modules but also generalizes the Fundamental Theorem of relative Hopf modules. Moreover, it gives a sufficient and necessary condition for weak smash product algebras to be weak bialgebras, and a sufficient condition for weak smash product algebras to be semisimple weak Hopf algebras.