| 形式三角矩阵余代数的余根滤链 |
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| 引用本文： | 尤兰,王振.形式三角矩阵余代数的余根滤链[J].盐城工学院学报(自然科学版),2010,23(4):13-17. |
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| 作者姓名： | 尤兰 王振 |
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| 作者单位： | 盐城工学院基础教学部,江苏盐城224051 |
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| 摘 要： | 定义了形式三角矩阵余代数,并讨论了这类余代数与余代数扩张的关系,以及和形式三角矩阵代数的关系。然后讨论了余代数滤链与双余模的Loewy列的性质,给出了两个余代数张量积的余根滤链和形式三角矩阵余代数的余根滤链。最后利用形式三角矩阵余代数的余根滤链给出了关于双余模的Loewy列的一个刻画。
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| 关 键 词： | 形式三角矩阵余代数 余根滤链 双余模 Loewy列 |
The Coradical Filtrations of the Formal Triangular Matrix Coalgebras |
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| YOU Lan,WANG Zhen.The Coradical Filtrations of the Formal Triangular Matrix Coalgebras[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2010,23(4):13-17. |
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| Authors: | YOU Lan WANG Zhen |
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| Institution: | (Department of Fundamental Sciences,Yancheng Institute of Technology,Jiangsu Yancheng 224051,China) |
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| Abstract: | Firstly,we introduce the concept of the formal triangular matrix coalgebras,discuss their connections with extensions of coalgebras and with the formal triangular matrix algebras.Then we discuss some properties of the coalgebra filtrations and the Loewy series,determine the coradical filtrations of the tensor product of two coalgebras and the formal triangular matrix coalgebras.Lastly,the Loewy series of bicomodules are described through the coradical filtrations of the formal triangular matrix coalgebras. |
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| Keywords: | formal triangular matrix coalgebra coradical filtration bicomodule Loewy series |
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