A new characterization of discrete valuation rings

被引：0

作者：

Naghipour, Reza ^{[1
]}

Sedghi, Monireh ^{[2
]}

机构：

[1] Univ Tabriz, Dept Math, Tabriz, Iran

[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2022年 / 15卷 / 04期

关键词：

discrete valuation ring; Gorenstein ring; socle;

D O I：

10.32513/asetmj/19322008231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to give a new characterization of discrete valuation rings, namely, it is shown that if (D, m) is a local (Noetherian) ring such that depth D > 0 and mk is principal ideal for some integer k >= 1, then D is a discrete valuation ring.

引用

页码：141 / 144

页数：4

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