Modules with finitely many small submodules

DOI10.1142/s1793557123500055MaRDI QIDQ6650395

Nirbhay Kumar, Avanish Kumar Chaturvedi

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

supplement submodulesdiscrete modulesfs-modulesus-modules

Mathematics Subject Classification ID

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) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

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• Rad-supplemented modules.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Generalized Hopfian modules
• Modules with chain conditions on superfluous submodules
• MODULES WITH FINITELY MANY SUBMODULES
• On rings over which each module has a maximal submodule
• On semilocal modules and rings
• On the small Krull dimension of modules
• On rings with a unique proper essential right ideal
• Rings characterised by semiprimitive modules
• SS-supplemented modules
• Rings with only finitely many essential right ideals

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