Indecomposable decompositions of modules whose direct sums are CS.

DOI10.1016/S0021-8693(03)00031-0zbMath1077.16008MaRDI QIDQ1810556

Pedro A. Guil Asensio, José L. Gómez Pardo

Publication date: 9 June 2003

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

zbMATH Keywords

indecomposable decompositionsCS-modulesdirect sums of uniform 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)

Related Items

Every \(\aleph_1\)-\(\Sigma\)-CS module is \(\Sigma\)-CS., On the number of zeros in the columns of the character table of a group., Relatively extending modules., Sigma-cotorsion rings., Rings Whose CS Modules Are Countably Σ-CS, Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes, Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls, Generalized Injectivity and Approximations

Cites Work

• On indecomposable decompositions of \(CS\)-modules. II
• Lifting modules, extending modules and their applications to QF-rings
• Modules with decompositions that complement direct summands
• Every Σ-CS-module has an indecomposable decomposition
• On σ-extending modules
• Noninjective Cyclic Modules
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