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math.RASep 1, 2024
1
citations (OpenAlex)
authors
  • J. Cimprič
institutions
  • Institute of Mathematics, Physics, and Mechanics
arXiv abstractPDF
paper

Parallels between quaternionic and matrix nullstellensätze

arXiv:2409.17850 · doi:10.1016/j.jalgebra.2025.05.022

Abstract

We prove a new quaternionic and a new matrix nullstellensatz. We also show that both theories are intertwined.

arXiv comment15 pages, revised

References in corpus (2)

  • A one-sided Prime Ideal Principle for noncommutative rings
  • Hilbert's Nullstellensatz over quaternions
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