Hilbert's Nullstellensatz over quaternions

2023/12/17 by Masood Aryapoor, Aryapoor, Masood · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematics and Applications #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2312.10799

openalex publication_date 2023/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Rabinowitsch trick, we prove a version of Nullstellensatz over quaternions, which generalizes Hilbert's Nullstellensatz over complex numbers.

Cited by

• The Central Nullstellensatz over Centrally Algebraically Closed Division Rings

Related

• Parallels between quaternionic and matrix nullstellensätze
• Early proofs of Hilbert's Nullstellensatz
• Matrix versions of real and quaternionic nullstellensatz
• Infinite Versions of Hilbert's Nullstellensatz
• Extended Hilbert's Nullstellensatz