A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings

Canadian mathematical bulletin

Jean-Philippe Rolin²  Adam Parusiński¹ 

[1] Univ. Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06100 Nice, France;Univ. de Bourgogne (Dijon), I.M.B., 9 av. A. Savary, BP47870, 21078 Dijon Cedex, France

关键词: skew polynomial rings;    Jacobson radical;    derivation;   

DOI  :  10.4153/CMB-2013-034-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Consider quasianalytic local rings of germs of smooth functions closedunder composition, implicit equation, and monomial division. We showthat if the Weierstrass Preparation Theorem holds in such a ring thenall elements of it are germs of analytic functions.

【 授权许可】

Unknown