Dedekind整环的性质研究  

Study on Properties of Dedekind Rings

作　　者：鲁志敏 LU Zhi-min(College of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing 210046,China)

机构地区：[1]南京财经大学应用数学学院

出　　处：《佳木斯大学学报（自然科学版）》2019年第5期837-838,共2页Journal of Jiamusi University：Natural Science Edition

摘　　要：为了解决Dedekind整环上的一些性质及Dedekind整环上有限生成无扭模结构问题,利用主理想整环和Dedekind整环的关系以及主理想整环上有限生成模的结构的研究方法,得到Dedekind整环上有限生成无扭模是投射摸以及Dedekind整环上一个商环的同构。In order to solve some properties of Dedekind rings and the problem of Dedekind rings with finitely generated torsion-free modes, use the relation between the main ideal ring and Dedekind rings and the research method of the structure of finitely generated module on the main ideal ring are used to obtain that the finitely generated torsion-free module on Dedekind integral rings are projective module and isomorphism of a quotient ring on Dedekind rings.

关 键 词：Dedekind环 有限生成模 无扭模 商环 

分 类 号：O153.3[理学—数学]