| Indecomposable Torsion Modules over Dedekind Domains |
| Received:March 13, 2009 Revised:October 14, 2009 |
| Key Words:
torison module Dedekind ring locally-nilpotent module.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10501041; 10601052). |
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| Abstract: |
| We give a direct proof to the classification of all indecomposable torsion modules over a Dedekind ring. As an application, we classify all indecomposable locally-nilpotent modules over the polynomial algebra with one variable over a field. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.01.008 |
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