A global Nullstellensatz for ideals of Denjoy-Carleman functions
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- by Francesca Acquistapace, Fabrizio Broglia and Andreea C. Nicoara PDF
- Proc. Amer. Math. Soc. 144 (2016), 2067-2071 Request permission
Abstract:
We prove a Nullstellensatz result for global ideals of Denjoy- Carleman quasi-analytic functions in both finitely generated and infinitely generated cases.References
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Additional Information
- Francesca Acquistapace
- Affiliation: Dipartimento di Matematica, Università degli Studi di Pisa, Largo Bruno Ponte- corvo, 5, 56127 Pisa, Italy
- Email: acquistf@dm.unipi.it
- Fabrizio Broglia
- Affiliation: Dipartimento di Matematica, Università degli Studi di Pisa, Largo Bruno Ponte- corvo, 5, 56127 Pisa, Italy
- MR Author ID: 41870
- Email: broglia@dm.unipi.it
- Andreea C. Nicoara
- Affiliation: School of Mathematics, Trinity College, Dublin, College Green, Dublin 2, Ireland
- MR Author ID: 773906
- Email: anicoara@maths.tcd.ie
- Received by editor(s): December 31, 2014
- Received by editor(s) in revised form: April 25, 2015, and May 28, 2015
- Published electronically: September 15, 2015
- Additional Notes: The work presented in this paper was initiated while the authors were visiting the American Institute of Mathematics, Palo Alto, CA, for a SQuaRE workshop. The authors are grateful to AIM for the hospitality and financial support.
- Communicated by: Lev Borisov
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2067-2071
- MSC (2010): Primary 26E10, 46E25; Secondary 11E25
- DOI: https://doi.org/10.1090/proc/12847
- MathSciNet review: 3460167