Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Canadian Mathematical Bulletin Année : 2014

Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

Résumé

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. .

Dates et versions

hal-00940991 , version 1 (03-02-2014)

Identifiants

Citer

Jean-Philippe Rolin, Adam Parusinski. Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings. Canadian Mathematical Bulletin, 2014, 57 (3), pp.614-620. ⟨10.4153/CMB-2013-034-5⟩. ⟨hal-00940991⟩
139 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More