Generalizations of Hopfian and co-Hopfian modules.

DOI10.1155/IJMMS.2005.1455zbMath1093.16007OpenAlexW2041412309MaRDI QIDQ2575951

Yongduo Wang

Publication date: 7 December 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52553

zbMATH Keywords

injective endomorphismsessential submodulessmall submodulessurjective endomorphismsACCDCCgeneralized co-Hopfian modulesweakly Hopfian modules

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (7)

CO-HOPFIAN ABELIAN GROUPS ⋮ Weak Hopfcity and singular modules ⋮ Quasi Co-Hopfian Modules and Applications ⋮ Unnamed Item ⋮ Hopficity of Modules and Rings (Survey) ⋮ Unnamed Item ⋮ Modules in which every surjective endomorphism has a \(\mu\)-small kernel

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