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Closed ideals in the ring An

✍ Scribed by B. I. Korenblyum

Publisher: Springer US
Year: 1973
Tongue: English
Weight: 725 KB
Volume: 6
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077876

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We study closedness properties of ideals generated by real - analytic functions in some subrings \(\mathcal{C}\) of \(C^{\infty}(\Omega)\), where \(\Omega\) is an open subset of \(\mathbb{R}^{n}\). In contrast with the case \(\mathcal{C}=C^{\infty}(\Omega)\), which has been clarified by famous works