The Central Nullstellensatz over Centrally Algebraically Closed Division Rings
arXiv:2506.15187 · doi:10.1016/j.jalgebra.2025.09.033
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.