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arXiv · 2506.15187

The Central Nullstellensatz over Centrally Algebraically Closed Division Rings

Masood Aryapoor
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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.

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Masood Aryapoor. 2025-06-18. The Central Nullstellensatz over Centrally Algebraically Closed Division Rings. https://doi.org/10.1016/j.jalgebra.2025.09.033

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