DENSELY CO-HOPFIAN MODULES

DOI10.1142/S021949881000435XzbMath1220.16005OpenAlexW2137519057MaRDI QIDQ3069774

Sh. Asgari, Ahmad Haghany

Publication date: 19 January 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881000435x

zbMATH Keywords

direct sumsinjective endomorphismsweakly co-Hopfian modulesGoldie torsion theoryextending modulesreduced ranksdense submodulescompletely co-Hopfian modulesdensely co-Hopfian modulesquasi co-Hopfian modules

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) 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) General module theory in associative algebras (16D10)

Related Items (5)

CO-HOPFIAN ABELIAN GROUPS ⋮ Polynomial rings over commutative reduced Hopfian local rings ⋮ Modules which are invariant under t-automorphisms of their injective hulls ⋮ t-Extending Modules andt-Baer Modules ⋮ Modules Whoset-Closed Submodules Have a Summand as a Complement

Cites Work

• Torisonfree injective modules
• Some aspects of Goldie's torsion theory
• Every Σ-CS-module has an indecomposable decomposition
• Quasi Co-Hopfian Modules and Applications
• Modules whose injective endomorphisms are essential

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