A quaternionic Nullstellensatz

Gil Alon; Elad Paran

doi:10.1016/j.jpaa.2020.106572

A quaternionic Nullstellensatz

Mathematics

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Abstract

We prove a Nullstellensatz for the ring of polynomial functions in n non-commuting variables over Hamilton's ring of real quaternions. We also characterize the generalized polynomial identities in n variables which hold over the quaternions, and more generally, over any division algebra.

Original language	English
Article number	106572
Journal	Journal of Pure and Applied Algebra
Volume	225
Issue number	4
DOIs	https://doi.org/10.1016/j.jpaa.2020.106572
State	Published - Apr 2021

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© 2020

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A quaternionic Nullstellensatz

Abstract

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