MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Une note sur la noethérianité
R. Choukri, A. El Kinani, A. Oukhouya

Abstract

We show that a Banach algebra in which all maximal ideals are of finite type is a noetherian algebra, hence of finite dimension. We also consider $m$-convex Fréchet algebras in which all maximal ideals are principal.

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Keywords: Noetherian algebra; l.m.c. algebra; maximal ideal.

MSC: 46J10, 46J20

Pages:  53$-$57     

Volume  60 ,  Issue  1 ,  2008