@article{On discontinuity of derivations, inducing inequivalent complete metric topologies_2024, volume={39}, url={https://revista-em.unex.es/index.php/EM/article/view/2605-5686.39.1.1}, DOI={10.17398/2605-5686.39.1.1}, abstractNote={We give an elementary method for constructing commutative Fréchet algebras with non-unique Fréchet algebra topology. The result is applied to show that the action of any non-algebraic analytic function may fail to be uniquely defined among other useful applications. We give an affirmative answer to a question of Loy (1974) for Fréchet algebras. We also obtain the uniqueness of the Fréchet algebra topology of certain Fréchet algebras with finite dimensional radicals.}, number={1}, journal={Extracta Mathematicae}, year={2024}, month={May}, pages={1–17} }