Representation of rings with faithful polyform modules

DOI10.1080/00927878608823357zbMath0594.16011OpenAlexW2112316819MaRDI QIDQ3724500

Julius M. Zelmanowitz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00927878608823357

zbMATH Keywords

essential submodulesendomorphism ringMorita invariantquasi-injective R-modulemonoform moduleslocally finite dimensionalm-dense subringpolyform moduleproduct of full linear rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Other classes of modules and ideals in associative algebras (16D80) Centralizing and normalizing extensions (16S20)

Related Items (11)

On ⊕-δss-supplemented modules ⋮ GENERALIZATIONS OF D₁₁ AND $D_{11}^ +$ MODULES ⋮ Covering coalgebras and dual non-singularity. ⋮ A note on monoform modules ⋮ Closed submodules of free modules over the endomorphism ring of a quasi-injective module ⋮ Unnamed Item ⋮ Modules whose partial endomorphisms have a δ-small kernels ⋮ Morita context functors ⋮ Weakly semisimple modulesand density theory ⋮ Correspondences of closed submodules ⋮ ON e-SMALL MONOFORM MODULES

Cites Work

• Endoprimitive rings
• Dimension modules
• Density and equivalence
• Lectures on injective modules and quotient rings
• Representations of Rings with Faithful Monoform Modules
• On Extensions of Weakly Primitive Rings
• Localization of modules and the central closure of rings

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