An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank

doi:10.1007/s11425-016-9060-2

CSpace > 系统科学研究所

	An algorithm for computing the factor ring of an ideal in Dedekind domain with finite rank
	Huang, Dandan 1; Deng, Yingpu2,3
	2018-05-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	61 期号:5 页码:783-796
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.
关键词	deterministic polynomial-time test Dedekind domains basis representation Hermite and Smith normal forms
DOI	10.1007/s11425-016-9060-2
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000430533200001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30042
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.