Coprime preradicals and modules.

DOI10.1016/j.jpaa.2004.12.040zbMath1073.16019OpenAlexW2039637229MaRDI QIDQ557059

Robert Wisbauer, José Ríos Montes, Francisco Raggi

Publication date: 23 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.040

zbMATH Keywords

lattices of submodulescoprimenessmodule categoriesfully invariant submodulesbig lattices of preradicalscoprime elementscoprime modulescoprime preradicals

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Prime and semiprime associative rings (16N60) 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) General radicals and associative rings (16N80)

Related Items (13)

A Zariski Topology for Modules ⋮ Fully coprime comodules and fully coprime corings. ⋮ A dual Zariski topology for modules. ⋮ A Zariski topology for bicomodules and corings. ⋮ MAIN MODULES AND SOME CHARACTERIZATIONS OF RINGS WITH GLOBAL CONDITIONS ON PRERADICALS ⋮ A Generalization of Semiregular and Semiperfect Modules ⋮ Unnamed Item ⋮ Semiperfect Modules with Respect to a Preradical ⋮ Modules in Which Inverse Images of Some Submodules are Direct Summands ⋮ On Coprime Modules and Comodules ⋮ Zariski Topologies for Coprime and Second Submodules ⋮ Co-2-absorbing preradicals and submodules ⋮ SEMICOPRIME PRERADICALS

Cites Work

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• The lattice structure of preradicals. III: Operators.
• ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
• THE LATTICE STRUCTURE OF HEREDITARY PRETORSION CLASSES
• Prime and coprime modules
• Module categories with linearly ordered closed subcategories
• THE LATTICE STRUCTURE OF PRERADICALS
• Serre subcategories of R-mod
• PRIME AND IRREDUCIBLE PRERADICALS
• Duprime and dusemiprime modules

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