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On quasi divisor theories and systems of valuations
Authors:Alfred Geroldinger  Franz Halter-Koch
Affiliation:(1) Institut für Mathematik, Karl-Franzens-Universität, Heinrichstrasse 36/IV, A-8010 Graz, Austria
Abstract:We study the relationship between divisor theories and systems of valuations, and characterize monoids with quasi divisor theories of finite character by systems of essential valuations. Throughout, we avoid ideal theory but use divisor theoretical methods.
Keywords:13A05  13A18  13F05  20M14
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