| Hom-余模余代数及Hom-Smash余积的构造 |
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| 引用本文： | 陈丹慧,李金其.Hom-余模余代数及Hom-Smash余积的构造[J].江汉大学学报(自然科学版),2010,38(2):5-9. |
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| 作者姓名： | 陈丹慧 李金其 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在Hom-余代数和余模结构的基础上,建立Hom-余模余代数的结构,并给出由余模余代数构造Hom-余模余代数的条件.通过Hom-余模余代数构造Hom-Smash余积,并证明Hom-Smash余积是Hom-余代数,且给出使之成为Hom-双代数的充分条件.
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| 关 键 词： | Hom-余代数 Hom余模余代数 Hom-Smash余积 同态 |
Construction of Hom-Comodule Coalgebras and Hom-Smash Coproducts |
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| CHEN Dan-hui,LI Jin-qi.Construction of Hom-Comodule Coalgebras and Hom-Smash Coproducts[J].Journal of Jianghan University:Natural Sciences,2010,38(2):5-9. |
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| Authors: | CHEN Dan-hui LI Jin-qi |
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| Institution: | (College of Mathematics Physics and Information Engineering,Zhejiang Normal University, Jinhua 321004,Zhejiang,China) |
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| Abstract: | Based on the structures of Hom-coalgebras and comodules,this paper sets up the structure of Hom-comodule coalgebras,and gives the conditions that make comodule coalgebras into Hom-comodule coalgebras.Also, the paper obtains the construction of Hom-smash coproducts by Hom-comodule coalgebras,proves that Hom-smash coproducts are Hom-coalgebras,and gives sufficient conditions making it into Hom-bialgebras. |
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| Keywords: | Hom-coalgebras Hom-comodule coalgebras Hom-smash coproducts homomorphism |
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