| 摘要: |
| 本文研究了在Hom-Hopf代数上引入Hom-弱Hopf代数的问题.利用建立弱左H-Hom-余模双代数的方法,获得了Hom-smash余积的代数结构,并证明了Hom-smash余积是Hom-余代数和Hom-弱Hopf代数,推广了由Molnar定义的smash余积Hopf代数. |
| 关键词: Hom-弱Hopf代数 弱左H-Hom-余模双代数 Hom-smash余积 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:国家自然科学基金资助(60873267);宁波市自然科学基金资助(2011A610172) |
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| HOM-SMASH COPRODUCTS OVER HOM-WEAK HOPF ALGEBRAS |
|
ZHENG Nai-feng
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College of Science, Ningbo University, Ningbo 315211, China
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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-Hom-comodule bialgebra, we construct Hom-smash coproduct and demonstrate that Hom-smash coproduct is a Hom-coalgebra and Hom-weak Hopf algebra, which generalizes smash coproduct Hopf algebra introduced by Molnar. |
| Key words: Hom-weak Hopf algebra weak left H-Hom-comodule bialgebra Hom-smash coproduct |
