| 扭曲模及扭曲Hopf模的基本结构定理的推广 |
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| 引用本文： | 陆仲坚,方小利.扭曲模及扭曲Hopf模的基本结构定理的推广[J].浙江大学学报(理学版),2010,37(4):367-371. |
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| 作者姓名： | 陆仲坚 方小利 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 基金项目： | 浙江省自然科学基金资助项目，浙江省教育厅科研项目 |
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| 摘 要： | 扭曲的方法在构造新的代数结构和模的结构中起了重要作用,在不必是双相关Hopf模甚至是余模的模上引入了更一般的扭曲组的概念,得到了扭曲模,与此同时,给出了扭曲模的基本结构定理和直接扭曲与分步扭曲的关系.
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| 关 键 词： | 配对Hopf代数 扭曲积 扭曲模 量子偶 |
Generalization of twisted modules and the fundamental structure theorem of twisting Hopf modules |
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| LU Zhong-jian,FANG Xiao-li.Generalization of twisted modules and the fundamental structure theorem of twisting Hopf modules[J].Journal of Zhejiang University(Sciences Edition),2010,37(4):367-371. |
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| Authors: | LU Zhong-jian FANG Xiao-li |
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| Affiliation: | (Department of Mathematics,Shaoxing College of Arts and Sciences,Shaoxing 312000,Zhejiang Province,China) |
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| Abstract: | The method of twisting is generalized,which plays an important role in constructions of algebras and modules.The twist of module is defined with respect to more general twisting data that do not need come from a birelated Hopf module structure.At the same time,the fundamental structure theorem of generalized twisted modules is considered and the relationship between direct twisting and iterative twisting is discussed. |
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| Keywords: | paired Hopf algebra twisting product twisted module quantum double |
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