Notes on Generalized Hopfian and Weakly Co-Hopfian Modules

DOI10.1080/00927872.2010.488666zbMath1220.16007OpenAlexW2021100931MaRDI QIDQ3060815

Gang Yang, Liu, Zhongkui

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.488666

zbMATH Keywords

matrix ringsweakly co-Hopfian modulestruncated polynomial ringsgeneralized Hopfian modulesgeneralized Hopfian rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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 ⋮ Unnamed Item ⋮ Hopficity of Modules and Rings (Survey) ⋮ Unnamed Item ⋮ Modules in which every surjective endomorphism has a \(\mu\)-small kernel

Cites Work

• Unnamed Item
• Hopfian and co-Hopfian objects
• On Hopfian rings
• Generalized Hopfian modules
• A Generalization of hilber's basis theorem
• Hopficity and co-hopficity for morita contexts
• Hopfian modules and co-hopfian modules
• Duality for Weakly Co-Hopfian and Generalized Hopfian Modules
• Group identities on units of locally finite algebras and twisted group algebras
• Modules whose injective endomorphisms are essential

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