A criterion for the similarity of length-two elements in a noncommutative PID

doi:10.1007/s11424-011-8392-x

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	A criterion for the similarity of length-two elements in a noncommutative PID
	Li, Ziming; Wang, Huaifu
	2011-06-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	24 期号:3 页码:580-592
摘要	This paper presents a criterion for the similarity of length-two elements in a noncommutative principal ideal domain. The criterion enables the authors to develop an algorithm for determining whether B (1) A (1) and B (2) A (2) are similar, where A (1),A (2),B (1),B (2) are first-order differential (difference) operators. The main step in the algorithm is to find a rational solution of a parametric differential (difference) Risch's equation, which has been well-studied in symbolic integration (summation).
关键词	Completely reducible elements irreducible elements Ore polynomials Risch's equations similarity
DOI	10.1007/s11424-011-8392-x
语种	英语
资助项目	973 key project[2004CB318000] ; National Natural Science Foundation[76596100]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000291556000014
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12028
专题	系统科学研究所
通讯作者	Li, Ziming
作者单位	Acad Math & Syst Sci, Key Lab Math & Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Ziming,Wang, Huaifu. A criterion for the similarity of length-two elements in a noncommutative PID[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2011,24(3):580-592.
APA	Li, Ziming,&Wang, Huaifu.(2011).A criterion for the similarity of length-two elements in a noncommutative PID.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,24(3),580-592.
MLA	Li, Ziming,et al."A criterion for the similarity of length-two elements in a noncommutative PID".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 24.3(2011):580-592.