Grobner bases of characteristic ideals of LRS over UFD
文献类型：期刊论文
| 作者 | Lu, PZ; Liu, ML |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
 |
| 出版日期 | 1998-10-01 |
| 卷号 | 41期号:10页码:1034-1046 |
| 关键词 | unique factorization domain Grobner bases linear recurring sequences BM algorithm |
| ISSN号 | 1006-9283 |
| 英文摘要 | Let R be a unique factorization domain (UFD). A method of Grobner bases and localization in commutative algebra is applied to compute and analyze the characteristic ideals of semi-infinite linear recurring sequences (Irs), infinite linear recurring sequences (LRS), and finite Irs over UFD. The canonical form of a minimal Grobner basis of the homogeneous characteristic ideal is described for a finite segment of an Irs, from which a precise relation between every step in the classical Berlekamp-Massey algorithm and every member of the Grobner basis is derived. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000076532700004 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13679]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lu, PZ |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, PZ,Liu, ML. Grobner bases of characteristic ideals of LRS over UFD[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(10):1034-1046. |
| APA | Lu, PZ,&Liu, ML.(1998).Grobner bases of characteristic ideals of LRS over UFD.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(10),1034-1046. |
| MLA | Lu, PZ,et al."Grobner bases of characteristic ideals of LRS over UFD".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.10(1998):1034-1046. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。