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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Global ideal theory of meromorphic function fields


Author: Norman L. Alling
Journal: Trans. Amer. Math. Soc. 256 (1979), 241-266
MSC: Primary 30H05; Secondary 13J99, 30F20
DOI: https://doi.org/10.1090/S0002-9947-1979-0546917-2
MathSciNet review: 546917
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1979-0546917-2
Keywords: Ideals, submodules, subrings, divisors, valuations, lattices, dual ideals, meromorphic functions, analytic functions, Riemann surfaces
Article copyright: © Copyright 1979 American Mathematical Society