First elements associated with partial order actions in $R$-Mod
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914087067189248 |
|---|---|
| author | García-Mora, Luis Fernando Rincón-Mejía, Hugo Alberto |
| author_facet | García-Mora, Luis Fernando Rincón-Mejía, Hugo Alberto |
| contents | We explore some concepts of module theory that derive from the notion of primeness, such as first modules, and extend them to more general environments. We also provide descriptions of simple left semiartinian rings, left local rings, semisimple rings, and simple rings in terms of their $\mathscr A$-first modules with respect to a preradical class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10565 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | First elements associated with partial order actions in $R$-Mod García-Mora, Luis Fernando Rincón-Mejía, Hugo Alberto Rings and Algebras 16S90, 16S99, 16K99 We explore some concepts of module theory that derive from the notion of primeness, such as first modules, and extend them to more general environments. We also provide descriptions of simple left semiartinian rings, left local rings, semisimple rings, and simple rings in terms of their $\mathscr A$-first modules with respect to a preradical class. |
| title | First elements associated with partial order actions in $R$-Mod |
| topic | Rings and Algebras 16S90, 16S99, 16K99 |
| url | https://arxiv.org/abs/2312.10565 |