On quasi divisor theories and systems of valuations |
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Authors: | Alfred Geroldinger Franz Halter-Koch |
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Affiliation: | (1) Institut für Mathematik, Karl-Franzens-Universität, Heinrichstrasse 36/IV, A-8010 Graz, Austria |
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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. |
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Keywords: | 13A05 13A18 13F05 20M14 |
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