Global ideal theory of meromorphic function fields-Reference-Cited by-同舟云学术

Global ideal theory of meromorphic function fields

Published:1979 Issue:0 Volume:256 Page:241-266
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Alling Norman L.

Abstract

It is shown that the ideal theories of the fields of all meromorphic functions on any two noncompact Riemann surfaces are isomorphic. Further, various new representation and factorization theorems are proved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1979-256-00/S0002-9947-1979-0546917-2/S0002-9947-1979-0546917-2.pdf

Reference20 articles.

1. The valuation theory of meromorphic function fields over open Riemann surfaces;Alling, Norman L.;Acta Math.,1963

2. The valuation theory of meromorphic function fields;Alling, Norman L.,1968

3. Primary ideals in rings of analytic functions;Alling, Norman L.;Proc. Amer. Math. Soc.,1975

4. Zur Idealtheorie der ganzen Funktionen;Banaschewski, Bernhard;Math. Nachr.,1958

5. On rings of analytic functions;Bers, Lipman;Bull. Amer. Math. Soc.,1948

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