Indecomposable decompositions of modules whose direct sums are CS. (Q1810556)

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scientific article; zbMATH DE number 1924694
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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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