A quaternionic Nullstellensatz

Gil Alon; Elad Paran

doi:10.1016/j.jpaa.2020.106572

A quaternionic Nullstellensatz

Gil Alon, Elad Paran

Mathematics

Open University of Israel

Research output: Contribution to journal › Article › peer-review

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2020.106572

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title = "A quaternionic Nullstellensatz",

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.",

author = "Gil Alon and Elad Paran",

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year = "2021",

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doi = "10.1016/j.jpaa.2020.106572",

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M3 - مقالة

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JO - Journal of Pure and Applied Algebra

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A quaternionic Nullstellensatz

Abstract

All Science Journal Classification (ASJC) codes

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