The Central Nullstellensatz over Centrally Algebraically Closed Division Rings
Rings and Algebras
2025-11-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2506.15187,
title = {The Central Nullstellensatz over Centrally Algebraically Closed Division Rings},
author = {Masood Aryapoor},
journal= {arXiv preprint arXiv:2506.15187},
year = {2025}
}