Rings characterized by direct sums of cs modules

DOI10.1080/00927870008827084zbMath0973.16005OpenAlexW1966184275MaRDI QIDQ4508782

Dinh Van Huynh, Sergio R. López-Permouth, Surender Kumar Jain

Publication date: 28 August 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827084

zbMATH Keywords

direct sumsdirect summandsArtinian ringsNoetherian ringsuniform modulesCS modulessemiprime Goldie rings

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) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (9)

Every \(\aleph_1\)-\(\Sigma\)-CS module is \(\Sigma\)-CS. ⋮ On the number of zeros in the columns of the character table of a group. ⋮ Rings whose pure-injective right modules are direct sums of lifting modules. ⋮ Artinian Rings Characterized by Direct Sums of CS Modules ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Rings Whose CS Modules Are Countably Σ-CS ⋮ Some results and questions on left-right symmetry ⋮ Generalized Injectivity and Approximations ⋮ Some remarks on CS modules and SI rings

Cites Work

• Every Σ-CS-module has an indecomposable decomposition
• Unnamed Item

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