Duprime and dusemiprime modules
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Publication:5956885
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
duprime modulesdusemiprime moduleshereditary pretorsion classeslattice-ordered monoidspolyform modules
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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