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On *-modules over valuation rings. (English) Zbl 0716.13017
Unter einem Bewertungsring versteht der Verf. einen kommutativen Ring - nicht notwendig nullteilerfrei - mit linear geordnetem Idealverband. Das Hauptergebnis ist der Satz, daß ein endlich erzeugter *-Modul über einem Bewertungsring R zu \((R/A)^ n\), \(n\geq 0\), A Ideal von R, isomorph ist. *-Moduln sind hierbei kategorien-theoretisch durch eine gewisse Dualitätsforderung definiert.
Reviewer: K.Mathiak

MSC:
13F30 Valuation rings
13A18 Valuations and their generalizations for commutative rings
13A05 Divisibility and factorizations in commutative rings
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