Uniform dimension and subdirect products

DOI10.2140/pjm.1987.126.1zbMath0597.16020OpenAlexW2021264392MaRDI QIDQ1078642

John Dauns

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.126.1

zbMATH Keywords

injective hullssingular submodulesuniform dimensionscomplement submoduledirect sum of nonsingular right idealsindecomposable injectivesinfinite regular cardinaluniform submodules

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) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Representation theory of associative rings and algebras (16Gxx)

Related Items (9)

On \((\aleph,U)\)-coherence of modules and rings. ⋮ Infinite Goldie dimensions ⋮ Generalized finiteness conditions ⋮ A restricted full subdirect product of aloebras ⋮ Module types ⋮ Torsion free modules ⋮ N-Products of injective objects in grothendieck categories ⋮ Generalized pure modules ⋮ Module classifying functors

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