| 四维余代数的分类 |
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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. DOI: 10.3785/j.issn.1008-9497.2017.01.004 |
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| 作者姓名： | 范中平 |
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| 作者单位： | 中国海洋大学 数学科学学院, 山东 青岛 266100 |
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| 基金项目： | 山东省博士后创新项目（201602024） |
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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.
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| 关 键 词： | 余代数 余根滤链 树结构基 |
| 收稿时间： | 2015-11-11 |
The classification of 4-dimensional coalgebra |
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| FAN Zhongping. The classification of 4-dimensional coalgebra[J]. Journal of Zhejiang University(Sciences Edition), 2017, 44(1): 28-32. DOI: 10.3785/j.issn.1008-9497.2017.01.004 |
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| Authors: | FAN Zhongping |
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| Affiliation: | School of Mathematical Sciences, Ocean University of China, Qingdao 266100, Shandong Province, China |
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| 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. |
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| Keywords: | coalgebra coradical filtrations tree structure basis |
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