A Quaternionic Nullstellensatz
Rings and Algebras
2020-09-15 v3
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.
Cite
@article{arxiv.1911.10595,
title = {A Quaternionic Nullstellensatz},
author = {Gil Alon and Elad Paran},
journal= {arXiv preprint arXiv:1911.10595},
year = {2020}
}