Modules whose injective endomorphisms are essential

DOI10.1006/jabr.2001.8851zbMath1005.16006OpenAlexW2015029148WikidataQ122423474 ScholiaQ122423474MaRDI QIDQ5949406

Mohammad Reza Vedadi, Ahmad Haghany

Publication date: 27 November 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8851

zbMATH Keywords

injective endomorphismsDedekind finite modulesfinitely generated free right modulesright strong stably finite ringsweakly co-Hopfian modules

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Other classes of modules and ideals in associative algebras (16D80)

Related Items (22)

On modules and rings in which complements are isomorphic to direct summands ⋮ CO-HOPFIAN ABELIAN GROUPS ⋮ Study of Semi-projective Retractable Modules ⋮ Unnamed Item ⋮ Generalized Fitting modules and rings. ⋮ Unnamed Item ⋮ On co-Hopficity of injective envelopes. ⋮ On commutative weakly FGI-rings ⋮ On (weakly) co-Hopfian automorphism-invariant modules ⋮ Polynomial rings over commutative reduced Hopfian local rings ⋮ Submodules of Direct Sums of Compressible Modules ⋮ Rings with cyclic injective hulls ⋮ Unnamed Item ⋮ Hopficity of Modules and Rings (Survey) ⋮ Duality for Weakly Co-Hopfian and Generalized Hopfian Modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modules in which every surjective endomorphism has a \(\mu\)-small kernel ⋮ Notes on Generalized Hopfian and Weakly Co-Hopfian Modules ⋮ DENSELY CO-HOPFIAN MODULES ⋮ Unnamed Item ⋮ Generalized Hopfian modules

Cites Work

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• Hopfian and co-Hopfian objects
• Properties of endomorphism rings
• Mininjective rings
• Study of modules over formal triangular matrix rings
• ON THE LOEWY LENGTH AND THE NOETHERIAN DIMENSION OF ARTINIAN MODULES

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