On the countably Noetherian dimension of modules

被引：1

作者：

Alehafttan, Ali Reza ^{[1
]}

机构：

[1] Jundi Shapur Univ Technol, Dept Math, Dezful, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 07期

关键词：

Noetherian dimension; c.g; submodule; c.Noetherian dimension; q.f.d; module;

D O I：

10.1080/00927872.2021.2021216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study the c.Noetherian dimension of an R-module A, denoted by cn-dim(A), which is the Noetherian dimension of the partially ordered set (briefly, poset) of countably generated submodules of A and prove that A has Noetherian dimension if and only if it has c.Noetherian dimension and furthermore cn-dim(A)<= n-dim(A)<= cn-dim(A)+1.

引用

页码：2775 / 2781

页数：7

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