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On the completion of a valuation ring. (English) Zbl 0136.32102


MSC:

12J10 Valued fields
13J05 Power series rings
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References:

[1] Artin, E., u.O. Schreier: Eine Kennzeichnung der reell abgeschlossenen Körper. Abhandl. math. Seminar Hamburg. Univ.5, 225-231 (1926). · JFM 53.0144.01
[2] Kürschák, J.: Über Limesbildung und allgemeine Körpertheorie. J. reine angew. Math.142, 211-253 (1913). · JFM 44.0239.01
[3] Ostrowski, A.: Untersuchungen zur arithmetischen Theorie der Körper. Math. Z.39, 269-404 (1934). · Zbl 0010.15001
[4] Ribenboim, P.: Corps maximaux et complets par des valuations de Krull. Math. Z.69, 466-479 (1958). · Zbl 0101.27601
[5] ?? Sur la théorie du prolongement des valuations de Krull. Math. Z.75, 449-466 (1961). · Zbl 0116.26602
[6] Schilling, O. F. G.: Valuation theory. New York: Amer. Math. Society 1950. · Zbl 0037.30702
[7] Schmidt, F. K.: Mehrfach perfekte Körper. Math. Ann.108, 1-25 (1933). · Zbl 0006.15005
[8] Zariski, O., andP. Samuel: Commutative Algebra, vol. II. Princeton: Van Nostrand 1960. · Zbl 0121.27801
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