模余代数的结构定理

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 85-92.

模余代数的结构定理

College of Science, Nanjing Agricultural University

收稿日期:2007-04-16 出版日期:2011-03-30 发布日期:2023-05-11
作者简介:WANG Yong(1982- ), male, native of Xuzhou, Jiangsu, a doctor of Nanjing Agricultural University, engages in Hopf algebras; ZHANG Liang-yun(1964- ), male, native of Hefei, Anhui, a professor of Nanjing Agricultural University, Ph.D., engages in Hopf algebras; CAI Zhi-min(1981- ), male, native of Suqian, Jiangsu, a master of Nanjing Agricultural University, engages in Hopf algebras.
基金资助:
Supported by the National Natural Science Foundation of China(10871170)； Supported by the Educational Minister Science Technology Key Foundation of China(108154)；

The Structure Theorem for Module Coalgebras

College of Science, Nanjing Agricultural University

Received:2007-04-16 Online:2011-03-30 Published:2023-05-11
About author:WANG Yong(1982- ), male, native of Xuzhou, Jiangsu, a doctor of Nanjing Agricultural University, engages in Hopf algebras; ZHANG Liang-yun(1964- ), male, native of Hefei, Anhui, a professor of Nanjing Agricultural University, Ph.D., engages in Hopf algebras; CAI Zhi-min(1981- ), male, native of Suqian, Jiangsu, a master of Nanjing Agricultural University, engages in Hopf algebras.
Supported by:
Supported by the National Natural Science Foundation of China(10871170)； Supported by the Educational Minister Science Technology Key Foundation of China(108154)；

摘要/Abstract

摘要： This paper, mainly gives the structure theorem for module coalgebras by a kind of new method, and deletes the condition that the antipode S of the Hopf algebra H is bijective.

关键词: Hopf algebra, Hopf bicomodule, comodule coalgebra, smash coproduct, module
coalgebra

Abstract: This paper, mainly gives the structure theorem for module coalgebras by a kind of new method, and deletes the condition that the antipode S of the Hopf algebra H is bijective.

Key words: Hopf algebra, Hopf bicomodule, comodule coalgebra, smash coproduct, module
coalgebra

中图分类号:

O153.3

王勇, 张良云, 蔡之敏 . 模余代数的结构定理[J]. 数学季刊, 2011, 26(1): 85-92.

WANG Yong, ZHANG Liang-yun, CAI Zhi-min. The Structure Theorem for Module Coalgebras [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 85-92.

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