| On the Decomposition of Hopf Module Coalgebra |
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| 引用本文： | 焦争鸣,王栓宏,等. On the Decomposition of Hopf Module Coalgebra[J]. 数学季刊, 1998, 13(2): 36-40 |
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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，Henan，Xinxiang，453002 |
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| 摘 要： | In1969,Sweedler[1]giventhedecompositiontheoreyofcoalgebraswhicharecocommu-tative.In1975,Kaplansky[2]showedthatanycoalgebracanbeuniquelydecomposedintoadirectsumofitsindecomposablesubcoalgebras.From1978to1992,Shudo[3]andXu[4]consructuredtheindecomposabledirectsumcomponentsofacoalggebra,viadefineequivalenceralationforthesetofsimplesubcoalgebras.Asweknow,themodolecoalgebraisthennaturalgeneralizationofcoalgebra.AndittakesplayanimportentroleintheDrinfelddouble.Inthispaper,wediscussthedecompositio…
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| 关 键 词： | Hopf模余代数 分解 Hopf代数 |
On the Decomposition of Hopf Module Coalgebra |
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| Jiao Zhengming Wang Shuanhong Zhao Wenzheng. On the Decomposition of Hopf Module Coalgebra[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(2): 36-40 |
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| Authors: | Jiao Zhengming Wang Shuanhong Zhao Wenzheng |
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| Affiliation: | [1]Department [2]of |
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| Abstract: | In this paper, the module coradical is introduced. From this, we show that any Hopf module coalgebra which is local finite can be uniquely decomposed into a direct sum of its indecomposable components. This result is a generalization of the decompostion theorem of coalgebra. |
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| Keywords: | Hopf module coalgebra local finite Hopf module coalgebra Hopf algebra |
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