| 弱Hopf代数的L-R弱Smash积 |
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| 引用本文： | 焦争鸣,李姣姣.弱Hopf代数的L-R弱Smash积[J].河南师范大学学报(自然科学版),2009,37(1). |
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| 作者姓名： | 焦争鸣 李姣姣 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 基金项目： | 国家自然科学基金，河南省基础与前沿技术研究计划 |
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| 摘 要： | 将L-RSmash积推广到弱Hopf代数上,引进了L-R弱Smash积的概念,证明了弱Smash积是L-R弱Smash积的特殊情况.并给出了L-R弱Smash积代数成为弱Hopf代数的一个充分条件.
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| 关 键 词： | 弱Hopf代数 弱双模代数 L-R弱Smash积 共融张量积 |
The L-R Weak Smash Product over Weak Hopf Algbras |
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| JIAO Zheng-ming,LI Jiao-jiao.The L-R Weak Smash Product over Weak Hopf Algbras[J].Journal of Henan Normal University(Natural Science),2009,37(1). |
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| Authors: | JIAO Zheng-ming LI Jiao-jiao |
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| Institution: | College of Mathematics and Information Science;Henan Normal University;Xinxiang 453007;China |
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| Abstract: | As the generalization of L-R smash product over Hopf algebra,the concept of L-R weak smash product over weak Hopf algebra is introduced.The weak smash product over weak Hopf algebra can be viewed as a special case.The sufficient conditions for L-R weak smash product A# H to be a weak Hopf algebra are also given. |
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| Keywords: | weak Hopf algbra weak bimodule algbra L-R weak smash product amalgamated tensor product |
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