Abelian groups like modules

DOI10.1007/BF01903367zbMath0628.16014OpenAlexW2018958338MaRDI QIDQ1092988

B. George

Publication date: 1987

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903367

zbMATH Keywords

heightexponentlocal ringQTAG-modulesindecomposable ringfinite composition lengthgeneralized uniserial ringdirect sum of uniserial modulesbasic submodulelinearly ordered lattices of submodules

Mathematics Subject Classification ID

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 (15)

On \(\sigma\)-pure submodules of QTAG-modules ⋮ On kulikov’s theorem ⋮ On sums of uniserial modules ⋮ \(h\)-purifiable submodules and isomorphism of \(h\)-pure hulls ⋮ On h-divisible QTAG-module ⋮ On commutator socle-regular \textit{QTAG}-modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On h-purity in qt ag-modules ⋮ Some aspects of \((\omega +1)\)-projectives ⋮ Unnamed Item ⋮ Retracted: \( \alpha\)-modules and generalized submodules ⋮ Unnamed Item ⋮ On projective QTAG-modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Serial rings and finitely presented modules
• Pure submodules of modules over bounded (hnp)-rings
• Some decomposition theorems on Abelian groups and their generalisations. II
• Left generalized uniserial rings
• Beiträge zur Theorie nichthalbeinfacher Ringe mit Minimalbedingungen.
• Modules Behaving Like Torsion Abelian Groups
• On ulm's theorem
• Decomposition of modules over serial rings

This page was built for publication: Abelian groups like modules