AN EXTENSION OF S-NOETHERIAN RINGS AND MODULES

被引：1

作者：

Jara, P. ^{[1
]}

机构：

[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2023年 / 34卷

关键词：

Noetherian ring and module; polynomial ring; formal power series ring;

D O I：

10.24330/ieja.1300716

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any commutative ring A we introduce a generalization of S- noetherian rings using a hereditary torsion theory & sigma; instead of a multiplicatively closed subset S & SUBE; A. It is proved that totally noetherian w.r.t. & sigma; is a local property, and if A is a totally noetherian ring w.r.t & sigma;, then & sigma; is of finite type.

引用

页码：1 / 20

页数：20

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