Indecomposable decompositions of modules whose direct sums are CS. (Q1810556)
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scientific article; zbMATH DE number 1924694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indecomposable decompositions of modules whose direct sums are CS. |
scientific article; zbMATH DE number 1924694 |
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Indecomposable decompositions of modules whose direct sums are CS. (English)
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9 June 2003
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The authors provide an affirmative answer to their following question [see Contemp. Math. 259, 467-473 (2000; Zbl 0977.16002)]: whether every aleph-one-omega-CS-module \(M\) (i.e., \(M\) is such that every direct sum \(N\) of copies of \(M\) indexed by a set with cardinality \(\aleph_1\) is CS, i.e., every closed submodule of \(N\) is a direct summand of \(N\)) is already a direct sum of uniforms.
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CS-modules
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direct sums of uniform modules
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indecomposable decompositions
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0.9345882
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0.9216783
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0.91742957
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0.91204494
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