An example of a Fréchet algebra which is a principal ideal domain

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Departamento de Matemática, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1 - Ciudad Universitaria, 1428 Buenos Aires, Argentina

We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.

Fréchet algebra, principal ideal domain, quasi-analytic class

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