A note on topological divisors of zero and division algebras

作者：Carlos Marcos J; Rodriguez Palacios Angel; Victoria Velasco M

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2015, 109(1): 93-100.

DOI：10.1007/s13398-014-0168-4

• Non-associative Algebra
• Topological divisor of zero
• Division algebra

We prove that normed unital complex (possibly non-associative) algebras with no non-zero left topological divisor of zero are isomorphic to the field 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.

• 出版日期2015