Generalized Fitting modules and rings.

DOI10.1016/J.JALGEBRA.2006.07.010zbMath1115.16002OpenAlexW2034373740MaRDI QIDQ868863

Esperanza Sánchez Campos, A. Hmaimou, El Amin Mokhtar Kaidi

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.07.010

zbMATH Keywords

endomorphismsautomorphismsco-Hopfian modulesFitting modulesstrongly 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) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (14)

CO-HOPFIAN ABELIAN GROUPS ⋮ Chain Condition on Annihilators and Strongly Hopfian Property in Hurwitz Series Ring ⋮ Quasi Co-Hopfian Modules and Applications ⋮ Polynomial rings over commutative reduced Hopfian local rings ⋮ Hopficity of Modules and Rings (Survey) ⋮ Unnamed Item ⋮ Modules in which every surjective endomorphism has a \(\mu\)-small kernel ⋮ Unnamed Item ⋮ Special properties of Hurwitz series rings ⋮ Formal Power Series Over Strongly Hopfian Rings ⋮ Endo-Noetherian rings ⋮ Power series over strongly Hopfian bounded rings ⋮ π-Rickart and dual π-Rickart objects in abelian categories ⋮ Ore extensions over right strongly Hopfian rings.

Cites Work

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• Hopfian rings and Hopfian modules
• On Fitting's lemma
• Hopfian and co-Hopfian objects
• Properties of endomorphism rings
• Rings with the dual of the isomorphism theorem.
• Generalized Hopfian modules
• Noetherian Banach algebras are finite dimensional
• Modules with decompositions that complement direct summands
• The polynomial ring over a Goldie ring need not be a Goldie ring
• On CommutativeFGS-Rings
• Partly Transitive Modules and Modules with Proper Isomorphic Submodules
• Surjective endomorphisms of finitely generated modules
• An infinite primary abelian group without proper isomorphic subgroups
• The technique of localizations of modules over algebras
• Group Rings in which Every Left Ideal is a Right Ideal
• On injective and surjective endomorphisms of finitely generated modules
• Modules with a“nice”endomorphism ring and a new characterization of semisimple modules and rings
• Modules with Semi-Local Endomorphism Ring
• Injective Endomorphisms of Finitely Generated Modules
• Topological Representation of Algebras. II
• A note on groups without isomorphic subgroups
• On semilocal rings
• Modules whose injective endomorphisms are essential

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