TORSION PRERADICALS—A TOOL FOR ANALYSING RINGS

DOI10.1080/16073606.1999.9632096zbMath0958.16031OpenAlexW2007889832MaRDI QIDQ4506117

John E. van den Berg

Publication date: 3 April 2001

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1999.9632096

zbMATH Keywords

torsion theoriestorsion radicalscommutativityBoolean latticesstrongly prime ringsatomic latticestorsion preradicals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) 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)

Cites Work

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• Rings whose kernel functors are linearly ordered
• When multiplication of topologizing filters is commutative
• Localization and completion
• A characterization of perfect rings
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• When is Every Kernel Functor Idempotent?
• Noncommutative localization
• ON A CLASSIFICATION OF PRIME RINGS
• On Maximal Torsion Radicals, II
• Conditions under which all preradical classes are perfect hereditary torsion classes
• Finitely annihilated modules and orders in artinian rings
• On the idempotence and stability of kernel functors
• On Maximal Torsion Radicals
• Rings and modules of quotients

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