A criterion for testing whether a difference ideal is prime
文献类型：期刊论文
| 作者 | Yuan, Chunming1 ; Gao, Xiao-Shan
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2009-12-01 |
| 卷号 | 22期号:4页码:627-635 |
| 关键词 | Characteristic set difference prime ideal irreducibility strong irreducibility |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-009-9192-4 |
| 英文摘要 | 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. |
| 资助项目 | National Key Basic Research Project of China ; NSFC |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000272037900008 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8541]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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