Une note sur la noethérianité

Authors

  • R. Choukri Ecole Normale Supérieure, B.P. 5118, Takaddoum, 10105, Rabat, Maroc Author
  • A. El Kinani Ecole Normale Supérieure, B.P. 5118, Takaddoum, 10105, Rabat, Maroc Author
  • A. Oukhouya Ecole Normale Supérieure, Marrakech, Maroc Author

Keywords:

Noetherian algebra, lmc algebra, maximal ideal

Subjects:

46J10, 46J20

Abstract

We show that a Banach algebra in which all maximal ideals are of finite typeis 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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Published

2008-01-15

Issue

Vol. 60 No. 1 (2008): Vol. 60, Issue 1

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.