When multiplication of topologizing filters is commutative

DOI10.1016/S0022-4049(99)00033-XzbMath0949.16029OpenAlexW2042181093MaRDI QIDQ1300655

John E. van den Berg

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00033-x

zbMATH Keywords

prime ringsprime radicalright FBN ringsindecomposable injective modulesacc on annihilator idealsacc on principal idealsfinitely generated uniform right modulesright topologizing filterstorsion preradicals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20) Noetherian rings and modules (associative rings and algebras) (16P40) Injective and flat modules and ideals in commutative rings (13C11) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (6)

Divisibility and Factorization of Kernel Functors ⋮ Two-sided residuation in the set of topologizing filters on a ring ⋮ Duprime and dusemiprime modules ⋮ Primeness Conditions on the Lattice of Hereditary Pretorsion Classes ⋮ Commutativity in the lattice of topologizing filters of a commutative semiartinian ring ⋮ TORSION PRERADICALS—A TOOL FOR ANALYSING RINGS

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