Modules with chain conditions on superfluous submodules

DOI10.1080/00927879108824262zbMath0734.16009OpenAlexW1975017471MaRDI QIDQ3361023

Ibrahim al-Khazzi, Patrick F. Smith

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824262

zbMATH Keywords

decomposition theoremsJacobson radicalsocleACC (DCC) on superfluous submoduleschain conditions on superfluous 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) Jacobson radical, quasimultiplication (16N20) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (21)

MODULES WITH SMALL CYCLIC SUBMODULES IN THEIR INJECTIVE HULLS ⋮ On the small Krull dimension of modules ⋮ Rad-discrete modules ⋮ Some properties of \(e\)-supplemented and \(e\)-lifting modules. ⋮ On the uniform dimension of the radical of a module^* ⋮ Epi-superfluous submodules and epi-Artinian modules ⋮ Noetherian and Artinian lattices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(\delta\)-small submodules and \(\delta\)-supplemented modules. ⋮ A generalization of max modules ⋮ Unnamed Item ⋮ On λ-Finitely Embedded Modules ⋮ δ-M-Small and δ-Harada Modules ⋮ Skew-injective modules ⋮ ON SMALL INJECTIVE RINGS AND MODULES ⋮ CHAIN CONDITIONS ON NON-SUMMANDS ⋮ A generalization of modules with the property (P*) ⋮ On finiteness conditions of modular lattices ⋮ Modules whose small submodules have Krull dimension ⋮ Dimension of non-small submodules

Cites Work

• Unnamed Item
• Quasi-injective modules with acc or dcc on essential submodules
• Semi-Prime Rings with Maximum Condition
• Rings with dcc on essential left ideals

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