On the Decomposition of Hopf Module Coalgebra

数学季刊 ›› 1998, Vol. 13 ›› Issue (2): 36-40.

On the Decomposition of Hopf Module Coalgebra

Department of Mathematics，Henan Normal University，H enan，Xinxiang，453002

收稿日期:1996-10-24 出版日期:1998-06-30 发布日期:2024-10-30
基金资助:
This work was partially supported by the NSF grant of Henan province and NSF grant of China．

On the Decomposition of Hopf Module Coalgebra

Department of Mathematics，Henan Normal University，H enan，Xinxiang，453002

Received:1996-10-24 Online:1998-06-30 Published:2024-10-30
Supported by:
This work was partially supported by the NSF grant of Henan province and NSF grant of China．

摘要/Abstract

摘要： 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.

关键词: , Hopf module coalgebra, local finite Hopf module coalgebra, Hopf algebra

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.

Key words: , Hopf module coalgebra, local finite Hopf module coalgebra, Hopf algebra

中图分类号:

O153

焦争鸣, 王栓宏, 赵文正 . On the Decomposition of Hopf Module Coalgebra[J]. 数学季刊, 1998, 13(2): 36-40.

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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On the Decomposition of Hopf Module Coalgebra

On the Decomposition of Hopf Module Coalgebra

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