The lattice structure of preradicals. III: Operators.

DOI10.1016/J.JPAA.2003.11.015zbMath1058.16030OpenAlexW2084521865MaRDI QIDQ1878460

Rogelio Fernández-Alonso, Carlos Signoret, Hugo Alberto Rincón-Mejía, Francisco Raggi, José Ríos Montes

Publication date: 19 August 2004

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.2003.11.015

zbMATH Keywords

simple modulesannihilatorsinjective hullspseudocomplementsextreme preradicalstotalizers

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Modular lattices, Desarguesian lattices (06C05) General radicals and associative rings (16N80)

Related Items (10)

Big lattices of module classes induced by preradicals ⋮ Some operators and dimensions in modular meet-continuous lattices ⋮ MAIN MODULES AND SOME CHARACTERIZATIONS OF RINGS WITH GLOBAL CONDITIONS ON PRERADICALS ⋮ Preradicals over left pure semisimple hereditary rings ⋮ Quasi-n-absorbing and semi-n-absorbing preradicals ⋮ Coprime preradicals and modules. ⋮ Semiprime Preradicals ⋮ On 2-absorbing preradicals ⋮ Co-2-absorbing preradicals and submodules ⋮ On pseudocomplements and supplements in the big lattice of preradicals

Cites Work

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• ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
• THE LATTICE STRUCTURE OF HEREDITARY PRETORSION CLASSES
• THE LATTICE STRUCTURE OF PRERADICALS II: PARTITIONS
• THE LATTICE STRUCTURE OF PRERADICALS
• Serre subcategories of R-mod

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