Canonical Forms of Indecomposable Modules over Kx, y/(x(p), y(q), xy)

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	Canonical Forms of Indecomposable Modules over Kx, y/(x(p), y(q), xy)
其他题名	Canonical Forms of Indecomposable Modules over Kx, y/(x(p), y(q), xy)
	Liu Genqiang 1; Zhang Yingbo 2
	2011
发表期刊	ALGEBRA COLLOQUIUM
ISSN	1005-3867
卷号	18 期号:3 页码:373-384
摘要	Let A = Kx,y/(xP,yq, xy) be a Gelfand Ponomarev algebra, where p,q is an element of N, and U = ((A) over tilde x (A) over tilde) the matrix problem of A. In the present paper, we determine the canonical forms of indecomposable modules of A, and give a one-to-one correspondence between the iso-classes of the modules over A and the canonical forms over U. Finally, we discuss some properties of the module variety of A using the canonical forms.
其他摘要	Let A = Kx,y/(xP,yq, xy) be a Gelfand Ponomarev algebra, where p,q is an element of N, and U = ((A) over tilde x (A) over tilde) the matrix problem of A. In the present paper, we determine the canonical forms of indecomposable modules of A, and give a one-to-one correspondence between the iso-classes of the modules over A and the canonical forms over U. Finally, we discuss some properties of the module variety of A using the canonical forms.
关键词	MATRICES ALGEBRAS band module matrix problem canonical form module variety
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:4332985
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55432
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.北京师范大学
推荐引用方式 GB/T 7714	Liu Genqiang,Zhang Yingbo. Canonical Forms of Indecomposable Modules over Kx, y/(x(p), y(q), xy)[J]. ALGEBRA COLLOQUIUM,2011,18(3):373-384.
APA	Liu Genqiang,&Zhang Yingbo.(2011).Canonical Forms of Indecomposable Modules over Kx, y/(x(p), y(q), xy).ALGEBRA COLLOQUIUM,18(3),373-384.
MLA	Liu Genqiang,et al."Canonical Forms of Indecomposable Modules over Kx, y/(x(p), y(q), xy)".ALGEBRA COLLOQUIUM 18.3(2011):373-384.