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A Characterization of Prufer Rings


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1 University of Chicago, United States
     

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Let R be a Prufer ring-by which we mean, as in [1], an integral domain in which every finitely generated ideal is invertible. Let M be a finitely generated R-module, T the torsion submodule of M.
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  • A Characterization of Prufer Rings

Abstract Views: 432  |  PDF Views: 0

Authors

Irving Kaplansky
University of Chicago, United States

Abstract


Let R be a Prufer ring-by which we mean, as in [1], an integral domain in which every finitely generated ideal is invertible. Let M be a finitely generated R-module, T the torsion submodule of M.