Abstract
We prove that normed unital complex (possibly non-associative) algebras with no non-zero left topological divisor of zero are isomorphic to the field \(\mathbb {C} \) of complex numbers. We also show the existence of a complete normed unital infinite-dimensional complex algebra with no non-zero two-sided topological divisor of zero.
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More From: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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