$n$-pure submodules of modules
Let $R$ be a commutative ring, $M$ an $R$-module, and $n\geq 1$ an integer. In this paper, we will introduce the concept of $n$-pure submodules of $M$ as a generalization of pure submodules and obtain some related results.We say that a submodule $N$ of $M$ is a \emph {$n$-pure submodule o...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Qom University of Technology
2024-12-01
|
| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_718831_91ddd2eff1df20e2db386fda658eae19.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Let $R$ be a commutative ring, $M$ an $R$-module, and $n\geq 1$ an integer. In this paper, we will introduce the concept of $n$-pure submodules of $M$ as a generalization of pure submodules and obtain some related results.We say that a submodule $N$ of $M$ is a \emph {$n$-pure submodule of $M$} if $I_1I_2...I_nN=I_1N \cap I_2N\cap...I_nN\cap (I_1I_2...I_n)M$ for all proper ideals $I_1, I_2,...I_n$ of $R$. |
|---|---|
| ISSN: | 2717-2708 |