Resumen de Extensions of topological algebras

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

• 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.