Realization of long exact sequences of abelian groups (Q749650)
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scientific article; zbMATH DE number 4173213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Realization of long exact sequences of abelian groups |
scientific article; zbMATH DE number 4173213 |
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Realization of long exact sequences of abelian groups (English)
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1990
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The author proves that every long exact sequence of abelian groups is the cohomology sequence of a (not unique) short exact sequence of complexes of abelian groups and then demonstrates that these groups can all be chosen to be free. In the proof of these results, bicartesian squares are used instead of diagram chasing.
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category of abelian groups
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cohomology of complexes
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cohomology sequence of a short exact sequence of complexes of abelian groups
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long exact sequence of abelian groups
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bicartesian squares
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