形式三角矩阵余代数的余根滤链  

The Coradical Filtrations of the Formal Triangular Matrix Coalgebras

作　　者：尤兰[1] 王振[1] 

机构地区：[1]盐城工学院基础教学部,江苏盐城224051

出　　处：《盐城工学院学报（自然科学版）》2010年第4期13-17,共5页Journal of Yancheng Institute of Technology:Natural Science Edition

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。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.

关 键 词：形式三角矩阵余代数 余根滤链 双余模 Loewy列 

分 类 号：O153.3[理学—数学]