Torsion theories of simple type

DOI10.1016/0022-4049(73)90035-2zbMath0272.16010OpenAlexW1979427337MaRDI QIDQ759078

Mark L. Teply, Richard Bronowitz

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-4049(73)90035-2

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (10)

Relation between balanced pairs and TTF triples ⋮ Multiple torsion theories over left and right perfect rings ⋮ When is every preradical of R-mod a left exact radical ⋮ Pseudocomplements in the lattice of torsion classes ⋮ The lattice structure of nonhereditary torsion theories ⋮ Arbitrary torsion classes of abelian groups^* ⋮ Commutative rings of which all radicals are left exact ⋮ The lattice (,⊂) of arbitrary torsion classes for mod-r ⋮ ON SOME LATTICES OF MODULE CLASSES ⋮ Commutative rings over which all torsion theories are hereditary

Cites Work

• Some aspects of torsion
• Decomposition of modules. II: Rings without chain conditions
• Primary decomposition of modules
• Homological dimension and splitting torsion theories
• A characterization of perfect rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• A Torsion Theory for Abelian Categories
• Commutative Rings Over which Every Module has a Maximal Submodule
• On a Class of Perfect Rings
• TTF-classes over perfect rings
• Anneaux semi-artiniens

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