nil-$M$-Noetherian and nil-$M$-Artinian modules
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913871598452736 |
|---|---|
| author | Farshadifar, Faranak |
| author_facet | Farshadifar, Faranak |
| contents | Let R be a commutative ring with identity and M be an R- module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06696 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | nil-$M$-Noetherian and nil-$M$-Artinian modules Farshadifar, Faranak Commutative Algebra Let R be a commutative ring with identity and M be an R- module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts. |
| title | nil-$M$-Noetherian and nil-$M$-Artinian modules |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2501.06696 |