Torsion free modules

DOI10.1007/BF01790342zbMath0712.16003MaRDI QIDQ923685

John Dauns

Publication date: 1989

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

lattice of idealsdiscrete modulescontinuous modulesdirect decompositioncategory of torsion free injective modulescomplete Boolean latticeessential direct sum of uniform submodulesvon Neumann regular injective ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80)

Related Items (7)

Lattices of classes of modules ⋮ Natural Classes, Left Exact Preradicals, and Flat Epimorphisms ⋮ Module types ⋮ Subdirect products of injectives ⋮ ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD ⋮ Ideals, Natural Classes, and Functors ⋮ Module classifying functors

Cites Work

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• Classes of modules with the exchange property
• Uniform dimension and subdirect products
• Infinite Goldie dimensions
• Decompositions of injective modules
• On the Ring of Quotients of a Boolean Ring
• A Note on Complete Boolean Algebras
• Dimension theory for nonsingular injective modules
• On Continuous Rings and Self Injective Rings
• Simple Rings with Uniform Right Ideals
• Injective Hulls of Torsion Free Modules
• Singular torsion and the splitting properties
• Krull dimension

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