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math.RA2022
On the existence of left and right eigenvalues
Bamdad R. Yahaghi
In this note, we consider arbitrary finite-dimensional real algebras containing a copy of complex numbers. It is proved that matrices with entries from an arbitrary finite-dimensio…
math.RA2022
Extensions of the fundamental theorem of algebra
Bamdad R. Yahaghi
In this paper motivated by the celebrated fundamental theorem of algebra and its standard proof utilizing Liouville's Theorem, we prove the fundamental theorem of algebra type resu…