The smallest closed subcategory containing the μcomplemented modules

DOI10.1080/00927870008827134zbMath0964.16004OpenAlexW2068927794MaRDI QIDQ4515505

Ana M. da Rocha de Viola-Prioli, Jorge E. Viola-Prioli

Publication date: 2 July 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008827134

zbMATH Keywords

direct sumssemisimple modulesdirect productsdirect summandsright chain ringsextending modulescomplemented modulesmodules of quotientssubgeneratorshereditary torsion functors

Mathematics Subject Classification ID

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) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (2)

ON THE OSOFSKY–SMITH THEOREM ⋮ On τ-completely decomposable modules

Cites Work

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• Ducompact filters and prime kernal functors
• Modules complemented with respect to a torsion theory
• On μ-complemented and singular modules
• Spectral torsion theories in module categories
• Generalized Discrete Valuation Rings
• Rings and modules of quotients

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