Impacto
Downloads
Downloads per month over past year
Díaz-Cano Ocaña, Antonio (2005) Orderings and maximal ideals of rings of analytic functions. Proceedings of the American Mathematical Society, 133 (10). pp. 2821-2828. ISSN 1088-6826
|
PDF
163kB |
Official URL: http://www.ams.org/journals/proc/2005-133-10/S0002-9939-05-07848-2/S0002-9939-05-07848-2.pdf
URL | URL Type |
---|---|
http://www.ams.org/ | Organisation |
Abstract
We prove that there is a natural injective correspondence between the maximal ideals of the ring of analytic functions on a real analytic set X and those of its subring of bounded analytic functions. By describing the maximal ideals in terms of ultrafilters we see that this correspondence is surjective if and only if X is compact. This approach is also useful for studying the orderings of the field of meromorphic functions on X.
Item Type: | Article |
---|---|
Uncontrolled Keywords: | Real analytic sets; Analytic functions; Maximal ideal; Ultrafilters; orderings. |
Subjects: | Sciences > Mathematics > Algebraic geometry |
ID Code: | 15040 |
Deposited On: | 27 Apr 2012 09:05 |
Last Modified: | 20 Apr 2015 11:55 |
Origin of downloads
Repository Staff Only: item control page