A characterization of commutative Fréchet algebras with all ideals closed

• Autorzy: W. Żelazko
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 46J20: Ideals, maximal ideals, boundaries
• 13E05: Noetherian rings and modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 138
• Numer: 3
• Strony: 293-300

Daty

wydano

2000

otrzymano

1999-09-21

poprawiono

2000-01-04

Twórcy

autor

W. Żelazko

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

Bibliografia

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