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


12J10 Valued fields
13J05 Power series rings
Full Text: DOI EuDML


[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.