The Central Nullstellensatz over Centrally Algebraically Closed Division Rings
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917056146833408 |
|---|---|
| author | Aryapoor, Masood |
| author_facet | Aryapoor, Masood |
| contents | We introduce the concept of centrally algebraically closed division rings and show that a division ring satisfies the central Nullstellensatz if and only if it is centrally algebraically closed. We also show that every division ring can be embedded in a centrally algebraically closed division ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Central Nullstellensatz over Centrally Algebraically Closed Division Rings Aryapoor, Masood Rings and Algebras We introduce the concept of centrally algebraically closed division rings and show that a division ring satisfies the central Nullstellensatz if and only if it is centrally algebraically closed. We also show that every division ring can be embedded in a centrally algebraically closed division ring. |
| title | The Central Nullstellensatz over Centrally Algebraically Closed Division Rings |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2506.15187 |