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A characteristic set method for ordinary difference polynomial systems

文献类型：期刊论文

作者Gao, Xiao-Shan; Luo, Yong; Yuan, Chunming
刊名JOURNAL OF SYMBOLIC COMPUTATION
出版日期2009-03-01
卷号44期号:3页码:242-260
关键词Difference polynomial Ascending chain Characteristic set Coherence Irreducibility Zero decomposition theorem Automated theorem proving
ISSN号0747-7171
DOI10.1016/j.jsc.2007.05.005
英文摘要We prove several basic properties for difference ascending chains, including a necessary and sufficient condition for an ascending chain to be the characteristic set of its saturation ideal and a necessary and sufficient condition for an ascending chain to be the characteristic set of a reflexive prime ideal. Based on these properties, we propose an algorithm to decompose the zero set of a finite set of difference polynomials into the union of zero sets of certain ascending chains. This decomposition algorithm is implemented and used to solve the perfect ideal membership problem, and to prove certain difference identities automatically. (C) 2008 Elsevier Ltd. All rights reserved.
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000264447000004
出版者ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7353]  
专题系统科学研究所
通讯作者Gao, Xiao-Shan
作者单位Acad Sinica, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Gao, Xiao-Shan,Luo, Yong,Yuan, Chunming. A characteristic set method for ordinary difference polynomial systems[J]. JOURNAL OF SYMBOLIC COMPUTATION,2009,44(3):242-260.
APA Gao, Xiao-Shan,Luo, Yong,&Yuan, Chunming.(2009).A characteristic set method for ordinary difference polynomial systems.JOURNAL OF SYMBOLIC COMPUTATION,44(3),242-260.
MLA Gao, Xiao-Shan,et al."A characteristic set method for ordinary difference polynomial systems".JOURNAL OF SYMBOLIC COMPUTATION 44.3(2009):242-260.

入库方式： OAI收割

来源：数学与系统科学研究院

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