S-Noetherian spectrum condition

被引：14

作者：

Ahmed, Hamed ^{[1
]}

机构：

[1] Fac Sci, Dept Math, Monastir 5019, Tunisia

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 08期

关键词：

Polynomial rings; radically S-finite ideals; ring has S-Noetherian spectrum; 13E99; 13B25; 13C; RINGS;

D O I：

10.1080/00927872.2017.1412455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A commutative ring R with identity satisfies the S-Noetherian spectrum condition, where SR is a given multiplicative set, if for each ideal I of R, for some sS and some finitely generated ideal J. Using this concept, we give an S-version of several different known results. For instance, the ring R satisfies the S-Noetherian spectrum property if and only if the polynomial ring R[X] satisfies the S-Noetherian spectrum property.

引用

页码：3314 / 3321

页数：8

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