NATURAL CLASSES AND TORSION THEORIES

DOI10.1142/S0219498803000441zbMath1065.16026MaRDI QIDQ4474456

John Dauns

Publication date: 12 July 2004

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

hereditary torsion theoriesessential extensionscomplement submodulessaturated classescomplete Boolean lattices\(M\)-natural classes

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (2)

Ideals, Natural Classes, and Functors ⋮ ON SOME LATTICES OF MODULE CLASSES

Cites Work

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• Decomposing modules into direct sums of submodules with types
• The lattice of pre-natural classes of modules
• Module types
• Localization of modules and the central closure of rings
• On Direct Sums of Injective Modules and Chain Conditions
• Direct sums of m-injective modules and module classes

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