Canonical Forms of Indecomposable Modules over K[x, y]/(x(p), y(q), xy)

CSpace

	Canonical Forms of Indecomposable Modules over K[x, y]/(x(p), y(q), xy)
	Liu, Genqiang 2; Zhang, Yingbo 1
	2011-09-01
发表期刊	ALGEBRA COLLOQUIUM
ISSN	1005-3867
卷号	18 期号:3 页码:373-384
摘要	Let A = K[x,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	band module matrix problem canonical form module variety
语种	英语
资助项目	National Natural Science Foundation of China[10731070]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000292516500002
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12079
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Genqiang
作者单位	1.Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Genqiang,Zhang, Yingbo. Canonical Forms of Indecomposable Modules over K[x, 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 K[x, y]/(x(p), y(q), xy).ALGEBRA COLLOQUIUM,18(3),373-384.
MLA	Liu, Genqiang,et al."Canonical Forms of Indecomposable Modules over K[x, y]/(x(p), y(q), xy)".ALGEBRA COLLOQUIUM 18.3(2011):373-384.