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Two-sided linear split quaternionic equations with n unknowns. (English) Zbl 1311.15005
The split quaternions, a similar concept to Hamilton quaternions, are generalizations of complex numbers to higher dimension. The algebra of the split quaternions is a \(4\)-dimensional real algebra containing zero divisors, nilpotent elements and nontrivial idempotents. In this paper, the authors consider the linear split quaternionic equations with terms of the form \(axb\). They present a method of solving such equations with several unknowns, with examples as illustrations.

15A06 Linear equations (linear algebraic aspects)
15B33 Matrices over special rings (quaternions, finite fields, etc.)
11R52 Quaternion and other division algebras: arithmetic, zeta functions
Full Text: DOI
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