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Abánades, Miguel A. and Joglar-Prieto, Nuria and Ruiz Sancho, Jesús María (1999) Bounded meromorphic functions on compact real analytic sets. Journal of Pure and Applied Algebra, 142 (1). pp. 1-11. ISSN 0022-4049
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022404998000693
Abstract
We show that the ring of bounded meromorphic functions on an irreducible compact real analytic set of dimension d is a Prüfer domain of dimension d. Consequently, every finitely generated ideal in this ring can be generated by d + 1 elements, and we show that this bound is sharp.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Fields; rings; number of generators of holomorphy ring; real holomorphy ring; rings of meromorphic functions; real spectra; Nash category; germs at compact sets |
| Subjects: | Sciences > Mathematics > Algebraic geometry Sciences > Mathematics > Set theory |
| ID Code: | 19913 |
| Deposited On: | 11 Feb 2013 19:47 |
| Last Modified: | 12 Dec 2018 15:13 |
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