A right continuous right weakly si-ring is semisimple

DOI10.1017/S0004972700014313zbMath0830.16006OpenAlexW2134178018MaRDI QIDQ4848330

Nguyen Van Sanh, Dinh Van Huynh

Publication date: 25 October 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700014313

zbMATH Keywords

simple moduledirect summandsemisimple ringessential submoduledirect sum of finitely generated modules\(M\)-singular modulecategory of \(R\)-modules\(M\)- injective submodulefully invariant \(SI\)- submodulefully invariant uniform submodulesright continuous right weakly \(SI\)-ringweakly \(SI\)-module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) 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)

Related Items (1)

Skew-injective modules

Cites Work

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• Cyclic modules whose quotients have all complement submodules direct summands
• On semi-artinian \(V\)-modules
• On Loewy length of rings
• Decomposing modules into projectives and injectives
• Rings Characterized by their Cyclic Modules
• Singular torsion and the splitting properties

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