On graded NR-clean rings
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916099843424256 |
|---|---|
| author | Namrok, Ismail |
| author_facet | Namrok, Ismail |
| contents | This paper presents an extension of the concept of NR-clean introduced in [12] to graded ring theory. We define and explore graded NR-clean rings, which generalize the class of graded U-nil clean previously studied in [15]. We provide examples and basic properties of such rings, and investigate their extensions to including matrix rings, group rings, as well as trivial ring extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11115 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On graded NR-clean rings Namrok, Ismail Commutative Algebra Rings and Algebras This paper presents an extension of the concept of NR-clean introduced in [12] to graded ring theory. We define and explore graded NR-clean rings, which generalize the class of graded U-nil clean previously studied in [15]. We provide examples and basic properties of such rings, and investigate their extensions to including matrix rings, group rings, as well as trivial ring extensions. |
| title | On graded NR-clean rings |
| topic | Commutative Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2311.11115 |