| 一类广义Hopf代数的结构(英文) |
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| 引用本文： | 周璇,刘国华.一类广义Hopf代数的结构(英文)[J].南京大学学报(自然科学版),2011(1). |
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| 作者姓名： | 周璇 刘国华 |
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| 作者单位： | 东南大学数学系; |
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| 基金项目： | Supported by the NNSF of China(No.10871042); NSF(jiangsu,No.BK2009528) |
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| 摘 要： | 设B是代数和余代数,V是向量空间.本文给出了带有左Brzezinski代数和左Brzezinski余代数结构的B(?)V构成双代数的充分必要条件,推了已有的一些结果.
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| 关 键 词： | 双代数 交叉积 交叉余积 |
THE STRUCTURE OF A CLASS OF GENERALIZED HOPF ALGEBRAS |
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| Zhou Xuan , Liu Guohua.THE STRUCTURE OF A CLASS OF GENERALIZED HOPF ALGEBRAS[J].Journal of Nanjing University: Nat Sci Ed,2011(1). |
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| Authors: | Zhou Xuan Liu Guohua |
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| Institution: | Zhou Xuan and Liu Guohua (Dept.of Math.,Southeast University,211189,Nanjing PRC) |
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| Abstract: | Let B be an algebra and a coalgebra,V a vector space.In this paper, we obtain a sufficient and necessary condition for B ? V to be a bialgebra with the left Brzezinski's algebra and the left Brzezinski's coalgebra structures,which generalize some existing results. |
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| Keywords: | bialgebra crossed product crossed coproduct |
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