Duprime and dusemiprime modules

DOI10.1016/S0022-4049(01)00127-XzbMath0999.16023OpenAlexW2144362226MaRDI QIDQ5956885

Robert Wisbauer, John E. van den Berg

Publication date: 8 September 2002

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(01)00127-x

zbMATH Keywords

duprime modulesdusemiprime moduleshereditary pretorsion classeslattice-ordered monoidspolyform modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ordered semigroups and monoids (06F05)

Related Items (6)

Divisibility and Factorization of Kernel Functors ⋮ PRIME AND IRREDUCIBLE PRERADICALS ⋮ Coprime preradicals and modules. ⋮ PRIME ELEMENTS IN PARTIALLY ORDERED GROUPOIDS APPLIED TO MODULES AND HOPF ALGEBRA ACTIONS ⋮ On Coprime Modules and Comodules ⋮ Semiprime Preradicals

Cites Work

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• Rings whose kernel functors are linearly ordered
• Rings whose faithful left ideals are cofaithful
• When multiplication of topologizing filters is commutative
• Every algebraic chain is the congruence lattice of a ring
• Strongly semiprime rings
• Primeness described in the language of torsion preradicals
• THE LATTICE STRUCTURE OF HEREDITARY PRETORSION CLASSES
• Strongly Prime Rings
• On rings (and chain domains) with restricted completeness conditions on topologizing filters
• Module categories with linearly ordered closed subcategories
• Pseudocomplements in the lattice of torsion classes
• When every torsion preradical is a torsion radical

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