Involutive directions and new involutive divisions
文献类型：期刊论文
| 作者 | Chen, YF; Gao, XS |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2001-04-01 |
| 卷号 | 41期号:7-8页码:945-956 |
| 关键词 | involutive divisions involutive directions Grobner bases nonmultiplier prolongation involutive completion |
| ISSN号 | 0898-1221 |
| 英文摘要 | In this paper, we propose the concept of involutive direction as a vector representation for the concept of involutive division proposed by Gerdt and his co-workers. With this representation, most of the properties of involutive divisions such as Noetherity, Artinity, and constructivity, can be greatly simplified. A new algorithm to compute the involutive completion is also given. Based on the vector representation, two new types of involutive divisions are found and proved to be Noetherian, Artinian, and constructive. These new divisions may lead to new methods of finding integrability conditions of partial differential equations and computing Grobner bases of polynomial ideals. (C) 2001 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167575900012 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15847]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, YF |
| 作者单位 | Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, YF,Gao, XS. Involutive directions and new involutive divisions[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2001,41(7-8):945-956. |
| APA | Chen, YF,&Gao, XS.(2001).Involutive directions and new involutive divisions.COMPUTERS & MATHEMATICS WITH APPLICATIONS,41(7-8),945-956. |
| MLA | Chen, YF,et al."Involutive directions and new involutive divisions".COMPUTERS & MATHEMATICS WITH APPLICATIONS 41.7-8(2001):945-956. |
入库方式： OAI收割
来源：数学与系统科学研究院
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