Every \(\aleph_1\)-\(\Sigma\)-CS module is \(\Sigma\)-CS.

DOI10.1016/j.jalgebra.2004.01.008zbMath1072.16005OpenAlexW1980170556MaRDI QIDQ1880692

Pedro A. Guil Asensio

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.008

zbMATH Keywords

indecomposable decompositionsuniform moduleslocal endomorphism ringslocal direct summandsCS modules\(\Sigma\)-CS-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Cites Work

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• σ-cs-modules
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• WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM
• Rings characterized by direct sums of cs modules