A characterization of commutative Fréchet algebras with all ideals closed

W. Żelazko

ArticleOriginal scientific text

Title

A characterization of commutative Fréchet algebras with all ideals closed

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Affiliations

Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra

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Title

A characterization of commutative Fréchet algebras with all ideals closed

Affiliations

Abstract

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