An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank
文献类型：期刊论文
| 作者 | Huang, Dandan1; Deng, Yingpu2,3
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2018-05-01 |
| 卷号 | 61期号:5页码:783-796 |
| 关键词 | deterministic polynomial-time test Dedekind domains basis representation Hermite and Smith normal forms |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-016-9060-2 |
| 英文摘要 | We give an algorithm for computing the factor ring of a given ideal in a Dedekind domain with finite rank, which runs in deterministic and polynomial-time. We provide two applications of the algorithm: judging whether a given ideal is prime or prime power. The main algorithm is based on basis representation of finite rings which is computed via Hermite and Smith normal forms. |
| 资助项目 | National Natural Science Foundation of China[11601202] ; National Natural Science Foundation of China[11471314] ; National Natural Science Foundation of China[11401312] ; Natural Science Foundation of the Jiangsu Higher Education Institutions[14KJB110012] ; High-Level Talent Scientific Research Foundation of Jinling Institute of Technology[jit-b-201527] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000430533200001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30041]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Huang, Dandan |
| 作者单位 | 1.Jinling Inst Technol, Sch Software Engn, Dept Cyber Space Secur, Nanjing 211169, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Key Lab Math Mech, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Dandan,Deng, Yingpu. An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank[J]. SCIENCE CHINA-MATHEMATICS,2018,61(5):783-796. |
| APA | Huang, Dandan,&Deng, Yingpu.(2018).An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank.SCIENCE CHINA-MATHEMATICS,61(5),783-796. |
| MLA | Huang, Dandan,et al."An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank".SCIENCE CHINA-MATHEMATICS 61.5(2018):783-796. |
入库方式： OAI收割
来源：数学与系统科学研究院
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