On some specific results of rings with prime nilradical

被引：0

作者：

Alhazmy, Khaled ^{[1
]}

Almahdi, Fuad Ali Ahmed ^{[1
]}

El Haddaoui, Younes ^{[2
]}

Mahdou, Najib ^{[2
]}

机构：

[1] King Khalid Univ, Fac Sci, Dept Math, POB 9004, Abha, Saudi Arabia

[2] Univ SM Ben Abdellah, Fac Sci & Technol Fez, Dept Math, Modelling & Math Struct Lab, Fes, Morocco

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 06期

关键词：

N-prime ideals; nonnil-primary ideals; nonnil-Noetherian modules; associated prime ideals; phi-chained rings; phi-Prufer rings;

D O I：

10.1142/S021949882550152X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors of A. Benhissi and S. Hizem [Nonnil-Noetherian rings and SFT property, Rocky Mountain J. Math. 41 (2011) 1483-1500] proved that the primary decomposition of a nonnil-ideal of a nonnil-Noetherian ring always exists. We will show in this paper that this primary decomposition is minimal. We next prove that over any nonnil-Noetherian ring, a sub-class of modules admit a primary decomposition. In the second part of this paper, we give some properties related to phi-chained and phi-Prufer rings.

引用

页数：25

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