A GLOBAL NULLSTELLENSATZ FOR IDEALS OF DENJOY-CARLEMAN FUNCTIONS

作者：Acquistapace Francesca^*; Broglia Fabrizio^*; Nicoara Andreea C^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144(5): 2067-2071.

DOI：10.1090/proc/12847

• Denjoy-Carleman quasianalytic classes
• ideals of Denjoy-Carleman functions
• Nullstellensatz
• closed ideal
• real Nullstellensatz
• radical ideal
• Lojasiewicz radical ideal
• saturation of an ideal

We prove a Nullstellensatz result for global ideals of Denjoy-Carleman quasi-analytic functions in both finitely generated and infinitely generated cases.

• 出版日期2016-5