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| 摘要: |
| 本文研究了在Hom-Hopf代数上引入Hom-弱Hop代数的问题.通过建立弱左H-模Hom-代数的方法，构造Hom-smash积，证明Hom-smash积是Hom-代数，且给出使之成为Hom-弱Hopf代数的充分条件，推广了由Bohm等人定义的弱Hop代数. |
| 关键词: Hom-弱Hopf代数 弱左H-模Hom-代数 Hom-smash积 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:国家自然科学基金资助（60873267）；宁波自然科学基金资助（2011A610172）. |
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| HOM-SMASH PRODUCTS OVER HOM-WEAK HOPF ALGEBRAS |
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ZHENG Nai-feng
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| Abstract: |
| In this paper, we study the concept of weak Hopf algebras over Hom-Hopf algebras. Using the method of establishing weak left H-module Hom-algebras, we construct Hom-smash product and demonstrate that Hom-smash product is a Hom-algebra and Hom-weak Hopf algebra, which generalizes weak Hopf algebra introduced by Bohm etc.. |
| Key words: Hom-weak Hopf algebra weak left H-module Hom-algebra Hom-smash product |
