References
N.Bourbaki, Commutative Algebra. Reading, Mass. 1970.
H. H.Brungs and J.Gräter, Valuation Rings in Finite-Dimensional Division Algebras. To appear in J. Algebra.
J. Gräter, Über Bewertungen endlich dimensionaler Divisionsalgebren. Resultate Math.7, 54–57 (1984).
J. Gräter, Zur Theorie nicht kommutativer Prüferringe. Arch. Math.41, 30–36 (1983).
J. Gräter, Lokalinvariante Bewertungen. Math. Z.192, 183–194 (1986).
K. Mathiak, Bewertungen nicht kommutativer Körper. J. Algebra48, 217–235 (1977).
O. F. G. Schilling, Noncommutative valuations. Bull. Amer. Math. Soc.51, 297–304 (1945).
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Gräter, J. Valuations on finite-dimensional division algebras and their value groups. Arch. Math 51, 128–140 (1988). https://doi.org/10.1007/BF01206470
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DOI: https://doi.org/10.1007/BF01206470