A formula to determine zero-dimensional ideals being annihilating ideals of linear recurring arrays
文献类型：期刊论文
| 作者 | Lu, PH; Liu, ML |
| 刊名 | ALGEBRA COLLOQUIUM
 |
| 出版日期 | 1999-09-01 |
| 卷号 | 6期号:3页码:349-360 |
| 关键词 | linear recurring arrays annihilating ideals localization cyclic modules Grobner bases |
| ISSN号 | 1005-3867 |
| 英文摘要 | Let F be a field, F[X] the polynomial ring over F in n indeterminates x(1),..., x(n), and X = (x(1),...,x(n)). Let I be a zero-dimensional ideal of F[X]. In this paper, we show that I is the annihilating ideal of an n-dimensional linear recurring array over F if and only if I satisfies the formula dim(F)((I : root I)/I) = dim(F)(F[X]/root I). The two sides of the formula can be feasibly computed by some typical algorithms from the theory of Grobner bases. 1991 Mathematics Subject Classification: 11B50. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085277400012 |
| 出版者 | SPRINGER VERLAG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14201]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lu, PH |
| 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, PH,Liu, ML. A formula to determine zero-dimensional ideals being annihilating ideals of linear recurring arrays[J]. ALGEBRA COLLOQUIUM,1999,6(3):349-360. |
| APA | Lu, PH,&Liu, ML.(1999).A formula to determine zero-dimensional ideals being annihilating ideals of linear recurring arrays.ALGEBRA COLLOQUIUM,6(3),349-360. |
| MLA | Lu, PH,et al."A formula to determine zero-dimensional ideals being annihilating ideals of linear recurring arrays".ALGEBRA COLLOQUIUM 6.3(1999):349-360. |
入库方式： OAI收割
来源：数学与系统科学研究院
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