| R-余环与×R-Hopf代数上的范畴 |
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| 引用本文： | 殷艳敏,刘张炬.R-余环与×R-Hopf代数上的范畴[J].北京大学学报(自然科学版),2003,39(5):624-634. |
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| 作者姓名： | 殷艳敏 刘张炬 |
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| 作者单位： | 北京大学数学科学学院,北京,100871 |
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| 基金项目： | 国家自然科学基金;19925105; |
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| 摘 要： | ×R-双代数L的左模范畴与左L*-模范畴是等价的.左(L,A)-Hopf模范畴同构于左A#L*-模范畴.在引入了对极的概念之后并将基本结构定理推广到×R-Hopf代数上的Hopf模上.
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| 关 键 词： | ×R-Hopf代数 smash积 对极 基本结构定理 ×R-Hopf algebra smash product antipode |
The R-Coring and the ×R-Hopf Algebra |
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| Abstract.The R-Coring and the ×R-Hopf Algebra[J].Acta Scientiarum Naturalium Universitatis Pekinensis,2003,39(5):624-634. |
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| Authors: | Abstract |
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| Abstract: | It is proved that the category of the left comodules over the ×R-bialgebra L is equivalent to the category of the left L*-modules,and the monoidal functor from LAM to A#L*-module is equivalent.For the ×R-Hopf algebras the generalization of the fundamental structure theorem of Hopf modules is given by introducing the definition of antipode. |
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| Keywords: | R-Hopf algebra smash product antipode fundamental structure theorem |
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