| Hopf拟群上扭曲冲积 |
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| 引用本文： | 方小利,王栓宏.Hopf拟群上扭曲冲积[J].东南大学学报,2011(3):343-346. |
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| 作者姓名： | 方小利 王栓宏 |
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| 作者单位： | 东南大学数学系; |
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| 基金项目： | The National Natural Science Foundation of China( No. 10971188 ); the Natural Science Foundation of Zhejiang Province(No.Y6110323); Jiangsu Planned Projects for Postdoctoral Research Funds(No. 0902081C); Zhejiang Provincial Education Department Project (No.Y200907995); Qiantang Talents Project of Science Technology Department of Zhejiang Province (No. 2011R10051) |
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| 摘 要： | 为了研究平行球面s7的代数结构,引进了Hopf拟群上的拟模和双拟模代数的概念,由于这些概念的公理中模缺少结合性的条件,通过增加对极的条件来弥补结合性的条件.并通过双拟模代数构造了扭曲冲积的概念,事实上这种扭曲冲积是Hopf代数上扭曲冲积的推广,并且证明了扭曲冲积与张量余积成为Hopf拟群的充要条件为当且仅当下列条件(h...
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| 关 键 词： | Hopf拟群 拟模 扭曲冲积 |
Twisted smash product for Hopf quasigroups |
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| Fang Xiaoli Wang Shuanhong.Twisted smash product for Hopf quasigroups[J].Journal of Southeast University(English Edition),2011(3):343-346. |
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| Authors: | Fang Xiaoli Wang Shuanhong |
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| Institution: | Fang Xiaoli Wang Shuanhong(Department of Mathematics,Southeast University,Nanjing 211189,China) |
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| Abstract: | In order to study algebraic structures of parallelizable sphere s7,the notions of quasimodules and biquasimodule algebras over Hopf quasigroups,which are not required to be associative,are introduced.The lack of associativity of quasimodules is compensated for by conditions involving the antipode.The twisted smash product for Hopf quasigroups is constructed using biquasimodule algebras,which is a generalization of the twisted smash for Hopf algebras.The twisted smash product and tensor coproduct is turned i... |
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| Keywords: | Hopf quasigroup quasimodule twisted smash |
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