Quaternionic vector space: Difference between revisions

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AIn [[mathematics]], a '''left''' (or '''right''') '''quaternionic vector space''' is a left (or right) '''H'''-[[module (mathematics)|module]] where '''H''' denotes the [[ring (mathematics)|noncommutative ring]] of the [[quaternion]]s.
 
The space '''H'''<sup>''n''</sup> of ''n''-tuples of quaternions is both a left and right '''H'''-module using the componentwise left and right multiplication: