A Quaternionic Nullstellensatz
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classification
math.RA
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nullstellensatzpolynomialquaternionsringvariablesalgebracharacterizedivision
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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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