Indecomposable Torsion Modules over Dedekind Domains
Received:March 13, 2009  Revised:October 14, 2009
Key Word: torison module   Dedekind ring   locally-nilpotent module.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.10501041; 10601052).
Author NameAffiliation
Jia Chun DU Department of Mathematics, University of Science and Technology of China, Anhui 230026, P. R. China 
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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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