Parallels between quaternionic and matrix nullstellens\"atze
J. Cimpri\v{c}
TL;DR
This paper establishes new nullstellensatz results in quaternionic and matrix algebra, demonstrating a deep connection between these two mathematical theories.
Contribution
It introduces novel nullstellensatz theorems for quaternionic and matrix contexts and reveals their interrelation.
Findings
New quaternionic nullstellensatz proved
New matrix nullstellensatz proved
Theories are interconnected
Abstract
We prove a new quaternionic and a new matrix nullstellensatz. We also show that both theories are intertwined.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Algebraic and Geometric Analysis