On co-Hopficity of injective envelopes.

DOI10.1007/S00009-011-0119-7zbMath1242.16006OpenAlexW2059521524WikidataQ114232341 ScholiaQ114232341MaRDI QIDQ414395

Mohammad Reza Vedadi

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1007/s00009-011-0119-7

zbMATH Keywords

injective endomorphismsinjective envelopesDedekind finite modulesweakly co-Hopfian modulesindecomposable injective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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)

Cites Work

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• Essentially compressible modules and rings.
• Ring with all finitely generated modules retractable.
• On weakly co-Hopfian modules.
• Quasi Co-Hopfian Modules and Applications
• Submodules of Direct Sums of Compressible Modules
• Modules whose injective endomorphisms are essential

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