descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2021Embargo end date: 01 Jan 2019 English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 225, page 106,572 (issn: 0022-4049,

Authors: Elad Paran; Gil Alon;

doi: 10.1016/j.jpaa.2020.106572 , 10.48550/arxiv.1911.10595

arXiv: http://arxiv.org/abs/1911.10595

A quaternionic Nullstellensatz

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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.

Related Organizations

Open University of Israel
Israel

Keywords

Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras

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