| On the Structure of the B—cocleft Module Coalgebra |
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| 引用本文： | 焦争鸣,王栓宏,等.On the Structure of the B—cocleft Module Coalgebra[J].数学季刊,1998,13(4):44-47. |
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| 作者姓名： | 焦争鸣 王栓宏 等 |
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| 作者单位： | Department of Mathematics，Henan Normal University，Xinxiang，453002 |
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| 摘 要： | §１． ＴｈｅＥｑｕｉｖａｌｅｎｔＴｈｅｏｒｅｍｏｆｔｈｅＣｒｏｓｓｅｄＣｏｐｒｏｄｕｃｔＬｅｔＣｂｅａｌｅｆｔＨ－ｗｅａｋｌｙｃｏｍｏｄｕｌｅｃｏａｌｇｅｂｒａ［４］ｗｉｔｈｔｈｅｓｔｒｕｃｔｕｒｅρ－Ｃ（ｃ）＝∑ｃ（１）ｃ（２）．ＤｂｅｌｅｆｔＨ－ｍｏｄｕｌｅｃｏａｌｇｅｂｒａ［２］ｗｉｔｈｔｈｅｓｔｒｕｃｔｕｒｅ“”．Ｆｏｒα∈Ｈｏｍκ（Ｃ，ＨＨ）ｄｅｎｏｔｅα（ｃ）＝∑α１（ｃ）α２（ｃ）．Ｄｅｆｉｎｅ△－：ＣＤ→（ＣＤ）（ＣＤ）ａｎｄε－：ＣＤ→κａｓｆｏｌｌｏｗ－ｉ…
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| 关 键 词： | B－CoCleft模余代数 H－弱模余代数 结构 |
On the Structure of the B cocleft Module Coalgebra |
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| Jiao Zhengming,Wang Shuanhong Zhao Wenzheng.On the Structure of the B cocleft Module Coalgebra[J].Chinese Quarterly Journal of Mathematics,1998,13(4):44-47. |
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| Authors: | Jiao Zhengming Wang Shuanhong Zhao Wenzheng |
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| Institution: | [1]Department [2]of |
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| Abstract: | In this paper we develope the notions of crossed coproduct of Hopf algebras and study an equivalent theorem of generalized crossed coproduct of H weakly comodule coalgebras and H module coalgebras. The main result is to prove a structure theorem about B cocleft H module coalgebras. |
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| Keywords: | H module coalgebra H weakly comodule coalgebra crossed coproduct |
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