Pseudocomplements in the lattice of torsion classes

DOI10.1080/00927879808826126zbMath0896.16022OpenAlexW2022693523MaRDI QIDQ4380600

Richard Wiegandt, Gary F. Birkenmeier

Publication date: 5 October 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826126

zbMATH Keywords

operatorsdirect sumshereditary torsion theoriessimple modulesdirect productscomplementsessential extensionspseudocomplementstorsionfree classeshereditary torsion classessubdirectly irreducible modules

Mathematics Subject Classification ID

Pseudocomplemented lattices (06D15) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (5)

Pseudocomplements and strong pseudocomplements in lattices of module classes ⋮ DECOMPOSITIONS OF MODULES SUPPLEMENTED RELATIVE TO A TORSION THEORY ⋮ Duprime and dusemiprime modules ⋮ ESSENTIAL COVERS OF RADICAL CLASSES ⋮ RICHARD WIEGANDT—65 YEARS FOR RADICAL THEORY

Cites Work

• Unnamed Item
• Torsion theories of simple type
• The lattice (,⊂) of arbitrary torsion classes for mod-r
• Commutative rings over which all torsion theories are hereditary

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