Modules with many direct summands.

DOI10.1007/S10958-008-9053-ZzbMATH Open1149.16003OpenAlexW2085934222MaRDI QIDQ950899

Askar A. Tuganbaev

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9053-z

zbMATH Keywords

semisimple modulesdirect summandsJacobson radicalinjective hullscyclic submodules\(I_0\)-modulesright \(I_0\)-ringssuperfluous submodules

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

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• Semiregular, weakly regular, and \(\pi\)-regular rings
• \(I\)-like modules
• Closure of weakly regular modules with respect to direct sums.
• Weakly regular modules.
• I-Rings
• Semiregular modules and f-semiperfect modules

Related Items (4)

\(I_0^*\)-modules ⋮ CONSTRUCTION OF MODULES WITH A PRESCRIBED DIRECT SUM DECOMPOSITION ⋮ Rings whose modules are direct sums of extending modules ⋮ Unnamed Item

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