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math.RA2019★ 3 cited
Quadratic formulas for split quaternions
Wensheng Cao
Unlike the Hamilton quaternion algebra, the split-quaternions contain nontrivial zero divisors. In general speaking, it is hard to find the solutions of equations in algebras conta…
math.RA2019
The Moore-Penrose inverses of split quaternions
Wensheng Cao, Zhenhu Chang
In this paper, we find the roots of lightlike quaternions. By introducing the concept of the Moore-Penrose inverse in split quaternions, we solve the linear equations , $xa=…