| Lazy元和Sweedler上边缘算子 |
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| 引用本文： | 刘加珍,居腾霞. Lazy元和Sweedler上边缘算子[J]. 南通大学学报(自然科学版), 2008, 7(4) |
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| 作者姓名： | 刘加珍 居腾霞 |
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| 作者单位： | 南通高等师范学校,江苏,南通,226000;南通大学,理学院,江苏,南通,226007 |
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| 基金项目： | 南通大学校科研和教改项目 |
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| 摘 要： | 设H是Hopf代数，A是左H-模代数．定义了集合Reg^n（H，A）中的lazy元，证明了lazy元的全体构成的集合RegL^n（H，A）对于卷积运算作成了RegL^n（H，A）的子群．并且进一步证明了在Sweedler上边缘算子作用下，lazy元依旧对应着lazy元．
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| 关 键 词： | Hopf代数 lazy元 Sweedler上边缘算子 |
Lazy Elements and Sweedler Coboundary Operators |
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| LIU Jia-zhen,JU Teng-xia. Lazy Elements and Sweedler Coboundary Operators[J]. Journal of Nantong University (Natural Science Edition), 2008, 7(4) |
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| Authors: | LIU Jia-zhen JU Teng-xia |
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| Affiliation: | 1.Nantong Normal School;Nantong 226000;China;2.School of Sciences;Nantong University;Nantong 226007;China |
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| Abstract: | Let H be a Hopf algebra and A a left H-module algebra.The lazy elements of the set Regn (H,A) are de- fined.It is showed that the set Regnn L(H,A) of all lazy elements is a subgroup of the group Regn(H,A) under convo- lution product and lazy elements are still corresponding to each other under the action of the Sweedler coboundary op- erators. |
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| Keywords: | Hopf algebra lazy element Sweedler coboundary operator |
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