When is the cs condition hereditary?

DOI10.1080/00927879908826670zbMath0946.16004OpenAlexW2023135818MaRDI QIDQ4261245

Gary F. Birkenmeier, Jae Keol Park, Jin Yong Kim

Publication date: 2 May 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826670

zbMATH Keywords

idempotentsdirect summandsinjective modulesright idealsfully invariant submodulesCS 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) Ideals in associative algebras (16D25)

Related Items

MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS, C11 -modules via left exact preradicals, The Extending Condition Relative to Sets of Submodules, Rings with countably many direct summands, Matrix Rings with Summand Intersection Property, On the inheritance of the strongly π-extending property, When Some Complement of a Submodule Is a Summand

Cites Work

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• Note on the degree of \(C^ 0\)-sufficiency of plane curves
• Rings for which certain modules are \(CS\)
• Right complement bounded semiprime rings
• Endomorphism Rings of Modules over non-singular CS Rings
• Characterisations of generalised un i serial rings in terms of factor rings
• Self-injective rings and the minimal direct summand containing the nilpotents
• On certain CS-rings
• Modules with the summand intersection property
• Modules with the summand intersection property