Abstract
In this paper we examine under which circumstances the general approximation theorem holds for Manis-valuations of a commutative ringR. In the first part we establish a sufficient condition and a (weaker) necessary condition onR, such that for arbitrary valuationsv 1,...,v n ofR the approximation theorem, is valid. In the second part we show that the approximation theorem holds forv 1,...,v n ,if the intersection of their valuation rings is anR-Prüferring.
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Gräter, J. Der allgemeine Approximationssatz für Manisbewertungen. Monatshefte für Mathematik 93, 277–288 (1982). https://doi.org/10.1007/BF01295228
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DOI: https://doi.org/10.1007/BF01295228