期刊论文详细信息
Canadian mathematical bulletin | |
A Note on the Weierstrass Preparation Theorem in Quasianalytic Local Rings | |
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
【 预 览 】
Files | Size | Format | View |
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RO201912050577057ZK.pdf | 9KB | download |