Global ideal theory of meromorphic function fields

Alling, Norman L.

doi:10.1090/S0002-9947-1979-0546917-2

Global ideal theory of meromorphic function fields
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by Norman L. Alling PDF

Trans. Amer. Math. Soc. 256 (1979), 241-266 Request permission

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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