Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

Abstract : Consider quasianalytic local rings of germs of smooth functions closed under composition, implicit equation, and monomial division. We show that if the Weierstrass Preparation Theorem holds in such a ring then all elements of it are germs of analytic functions. .
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https://hal.archives-ouvertes.fr/hal-00940991
Contributor : Adam Parusinski <>
Submitted on : Monday, February 3, 2014 - 11:18:54 AM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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  • HAL Id : hal-00940991, version 1
  • ARXIV : 1303.4424

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Jean-Philippe Rolin, Adam Parusinski. Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings. Canadian Mathematical Bulletin, 2014, 57 (614-620), pp.7. ⟨hal-00940991⟩

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