Generation of proper classes of short exact sequences (Q1365264)

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scientific article; zbMATH DE number 1054251
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English
Generation of proper classes of short exact sequences
scientific article; zbMATH DE number 1054251

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    Generation of proper classes of short exact sequences (English)
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    28 August 1997
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    Summary: The generation of proper classes of short exact sequences of modules by subclasses is considered. The class generated by two proper classes is studied by means of some operations between these classes. These operations are investigated in details for classes of short quasi-splitting, torsion-splitting and pure exact sequences of abelian groups.
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    proper class of short exact sequences
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    generated proper class
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    coprojectively generated class
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    coinjectively generated class
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    sum of proper classes
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    cotorsion groups
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    Ulm's subgroup
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    quasi-splitting
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    torsion-splitting
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    pure exact sequences
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