A quaternionic Nullstellensatz

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number106572
JournalJournal of Pure and Applied Algebra
Issue number4
StatePublished - Apr 2021

Bibliographical note

Publisher Copyright:
© 2020


Dive into the research topics of 'A quaternionic Nullstellensatz'. Together they form a unique fingerprint.

Cite this