Characterizing Baer Modules Over $τ_q$-Semisimple Rings: An Extension of Baer's Problem
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912569726337024 |
|---|---|
| author | Zhang, Xiaolei Kim, Hwankoo |
| author_facet | Zhang, Xiaolei Kim, Hwankoo |
| contents | In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring $R$ is $τ_q$-semisimple, then every Baer $R$-module is projective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11367 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Characterizing Baer Modules Over $τ_q$-Semisimple Rings: An Extension of Baer's Problem Zhang, Xiaolei Kim, Hwankoo Commutative Algebra In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring $R$ is $τ_q$-semisimple, then every Baer $R$-module is projective. |
| title | Characterizing Baer Modules Over $τ_q$-Semisimple Rings: An Extension of Baer's Problem |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2307.11367 |