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Resumen de Extensions of topological algebras

Antonio Fernández Carrión Árbol académico, Miguel Florencio Lora Árbol académico, Pedro J. Paúl Árbol académico, Vladimir Müller Árbol académico

  • We prove that, in the class of commutative topological algebras with separately continuous multiplication, an element is permanently singular if and only if it is a topological divisor of zero. This extends the result given by R. Arens [1] for the Banach algebra case. We also give sufficient conditions for non-removability of ideals in commutative topological algebras with jointly continuous multiplication.

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