TY - JOUR
T1 - A quaternionic Nullstellensatz
AU - Alon, Gil
AU - Paran, Elad
N1 - Publisher Copyright:
© 2020
PY - 2021/4
Y1 - 2021/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85091635028&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2020.106572
DO - 10.1016/j.jpaa.2020.106572
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AN - SCOPUS:85091635028
SN - 0022-4049
VL - 225
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 4
M1 - 106572
ER -