The central Nullstellensatz over centrally algebraically closed division rings
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.
Authors
- Masood Aryapoor (ORCID: https://orcid.org/0000-0002-4471-1483)
Institutions
- Mälardalen University (SE)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2025-10-10
- DOI
- https://doi.org/10.1016/j.jalgebra.2025.09.033
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 5.38