A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings
| Affiliation auteurs | Affiliation ok |
| Titre | A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings |
| Type de publication | Journal Article |
| Year of Publication | 2014 |
| Auteurs | Parusinski A, Rolin J-P |
| Journal | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES |
| Volume | 57 |
| Pagination | 614-620 |
| Date Published | SEP |
| Type of Article | Article |
| ISSN | 0008-4395 |
| Mots-clés | quasianalytic local rings, Weierstrass Preparation Theorem |
| 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 germ's of analytic functions. |
| DOI | 10.4153/CMB-2013-034-5 |