Toward the classification of mixed groups (Q799743)
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scientific article; zbMATH DE number 3873473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Toward the classification of mixed groups |
scientific article; zbMATH DE number 3873473 |
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Toward the classification of mixed groups (English)
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1984
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All modules considered are over a discrete valuation ring. The author introduces a class of mixed modules, called A-modules, which properly contains the class of Warfield modules. For A-modules, a new set of invariants, called A-numbers, are defined and it is shown that the A- numbers together with the Warfield invariants determine an A-module up to isomorphism. This generalizes the author's own classification of totally projective abelian p-groups and the classification of Warfield modules.
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discrete valuation ring
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mixed modules
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Warfield modules
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Warfield invariants
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totally projective abelian p-groups
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