A quaternionic Nullstellensatz
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.
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| Veröffentlicht in: | Journal of pure and applied algebra 2021-04, Vol.225 (4), p.106572, Article 106572 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0022-4049 1873-1376 |
| DOI: | 10.1016/j.jpaa.2020.106572 |