Quasi-basic submodules over valuation domains (Q1315168)
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scientific article; zbMATH DE number 510098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-basic submodules over valuation domains |
scientific article; zbMATH DE number 510098 |
Statements
Quasi-basic submodules over valuation domains (English)
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20 June 1994
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The authors define two kinds of new invariants for modules over valuation domains. The first ones form a complete independent set of invariants for direct sums of uniserial modules, including the non-standard ones, and are related to maximal pure direct sums of uniserial submodules isomorphic to a fixed uniserial module. - The second kind of invariants are related to maximal pure direct sums of arbitrary uniserial submodules.
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invariants
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modules over valuation domains
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direct sums of uniserial submodules
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