Subdirect products of injectives

DOI10.1080/00927878908823721zbMath0664.16012OpenAlexW2157954784MaRDI QIDQ3815434

John Dauns

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823721

zbMATH Keywords

Noetherian ringssupportinjective modulesregular cardinal\(\sigma\)-product\(\sigma\)-ascending chain condition

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (14)

On \((\aleph,U)\)-coherence of modules and rings. ⋮ COHERENCE ⋮ Generalized finiteness conditions ⋮ A restricted full subdirect product of aloebras ⋮ Module types ⋮ Large subdirect products of flat modules ⋮ N-Products of injective objects in grothendieck categories ⋮ Large subdirect product of modules as direct summand of their direct product ⋮ Large subdirect products of projective modules ⋮ Goldie dimensions of quotient modules ⋮ Generalized pure modules ⋮ -Products of injective, flat, and projective modules ⋮ Module classifying functors ⋮ Large subdirect products of graded modules

Cites Work

• Torsion free modules
• Lengths of submodule chains versus Krull dimension in non-Noetherian modules
• On rings and modules with DICC
• On \(\aleph _ 0\)-injective regular rings
• On modules with DICC
• Direct-sum representations of injective modules
• The submodule lattice of a cyclic module

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