A criterion for testing whether a difference ideal is prime

doi:10.1007/s11424-009-9192-4

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	A criterion for testing whether a difference ideal is prime
	Yuan, Chunming1 ; Gao, Xiao-Shan
	2009-12-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	22 期号:4 页码:627-635
摘要	This paper presents a criterion for testing the irreducibility of a polynomial over an algebraic extension field. Using this criterion and the characteristic set method, the authors give a criterion for testing whether certain difference ascending chains are strong irreducible, and as a consequence, whether the saturation ideals of these ascending chains are prime ideals.
关键词	Characteristic set difference prime ideal irreducibility strong irreducibility
DOI	10.1007/s11424-009-9192-4
语种	英语
资助项目	National Key Basic Research Project of China ; NSFC
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000272037900008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8542
专题	系统科学研究所
通讯作者	Yuan, Chunming
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, 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	Yuan, Chunming,Gao, Xiao-Shan. A criterion for testing whether a difference ideal is prime[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2009,22(4):627-635.
APA	Yuan, Chunming,&Gao, Xiao-Shan.(2009).A criterion for testing whether a difference ideal is prime.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,22(4),627-635.
MLA	Yuan, Chunming,et al."A criterion for testing whether a difference ideal is prime".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 22.4(2009):627-635.