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Noetherian properties of m-adic completions

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Topics in ĉ-adic Topologies

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE2,volume 58))

Abstract

The aim of this paragraph is to show that the noetherian property is preserved by ĉ-adic completions. Using some facts stated in § 3, it is now possible to give an immediate proof of this result.

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© 1971 Springer-Verlag Berlin · Heidelberg

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Greco, S., Salmon, P. (1971). Noetherian properties of m-adic completions. In: Topics in ĉ-adic Topologies. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88501-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-88501-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-88503-7

  • Online ISBN: 978-3-642-88501-3

  • eBook Packages: Springer Book Archive

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