Rings of meromorphic functions
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- by James Kelleher PDF
- Bull. Amer. Math. Soc. 72 (1966), 54-58
References
- Norman L. Alling, The valuation theory of meromorphic function fields over open Riemann surfaces, Acta Math. 110 (1963), 79–96. MR 160781, DOI 10.1007/BF02391855
- Bernhard Banaschewski, Zur Idealtheorie der ganzen Funktionen, Math. Nachr. 19 (1958), 136–160 (German). MR 106286, DOI 10.1002/mana.19580190109
- Olaf Helmer, Divisibility properties of integral functions, Duke Math. J. 6 (1940), 345–356. MR 1851
- Melvin Henriksen, On the ideal structure of the ring of entire functions, Pacific J. Math. 2 (1952), 179–184. MR 47928, DOI 10.2140/pjm.1952.2.179
- Melvin Henriksen, On the prime ideals of the ring of entire functions, Pacific J. Math. 3 (1953), 711–720. MR 59479, DOI 10.2140/pjm.1953.3.711
- Hej Iss’sa, On the meromorphic function field of a Stein variety, Ann. of Math. (2) 83 (1966), 34–46. MR 185143, DOI 10.2307/1970468
- Shizuo Kakutani, Rings of analytic functions, Lectures on functions of a complex variable, University of Michigan Press, Ann Arbor, Mich., 1955, pp. 71–83. MR 0070060
- Mitsuru Nakai, On rings of analytic functions on Riemann surfaces, Proc. Japan Acad. 39 (1963), 79–84. MR 150294
- Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0120249, DOI 10.1007/978-3-662-29244-0
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 54-58
- DOI: https://doi.org/10.1090/S0002-9904-1966-11413-1
- MathSciNet review: 0185131