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浙江大学学报（理学版）
浙江大学学报（理学版）  2017, Vol. 44 Issue (1): 28-32    DOI: 10.3785/j.issn.1008-9497.2017.01.004
数学与计算机科学     
四维余代数的分类
范中平
中国海洋大学 数学科学学院, 山东 青岛 266100
The classification of 4-dimensional coalgebra
FAN Zhongping
School of Mathematical Sciences, Ocean University of China, Qingdao 266100, Shandong Province, China
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摘要： 利用余代数的树结构基，得到了余代数同构的等价条件，从而完成了四维余代数的分类，并针对更高维的余代数分类给出了一般方法.
关键词： 余代数;  余根滤链;  树结构基    
Abstract: By employing the tree structure basis of coalgebra, an equivalent condition for coalgebra being isomorphic is achieved. The list of all isomorphism classes of 4-dimensional coalgebra is completed, and a general method for the classification of larger dimensional coalgebra is provided.
Key words: coalgebra    coradical filtrations    tree structure basis
收稿日期: 2015-11-11 出版日期: 2017-01-22
CLC:  O153.3  
基金资助: 山东省博士后创新项目（201602024）
作者简介: 范中平(1988-),ORCID:http://orcid.org/0000-0002-1466-0814,男,博士,讲师,主要从事非交换代数研究.
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引用本文:

范中平. 四维余代数的分类[J]. 浙江大学学报（理学版）, 2017, 44(1): 28-32.

FAN Zhongping. The classification of 4-dimensional coalgebra. Journal of Zhejiang University (Science Edition), 2017, 44(1): 28-32.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2017.01.004    或    https://www.zjujournals.com/sci/CN/Y2017/V44/I1/28

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