On Direct Sums of Lifting Modules and Internal Exchange Property

DOI10.1081/AGB-200063365zbMath1084.16003MaRDI QIDQ5466657

Yosuke Kuratomi

Publication date: 25 August 2005

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

zbMATH Keywords

direct sumsdirect summandslifting modulesinternal exchange propertyrelative projectivityfinite exchange property

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (12)

Direct sums of ADS* modules. ⋮ Almost projective modules and generalized projective modules ⋮ Lifting modules with finite internal exchange property and direct sums of hollow modules ⋮ H-supplemented Modules and Generalizations of Quasi-discrete Modules ⋮ Lifting Modules Over Right Perfect Rings ⋮ Lifting Property of Direct Sums of Hollow Modules ⋮ DIRECT SUMS OF H-SUPPLEMENTED MODULES ⋮ Unnamed Item ⋮ Lifting Modules with Indecomposable Decompositions ⋮ Infinite Direct Sums of Lifting Modules ⋮ On Direct ProjectiveH-Supplemented Modules ⋮ Decompositions of dual automorphism invariant modules over semiperfect rings

Cites Work

• On direct sums of extending modules and internal exchange property
• On lifting modules
• MODULES FOR WHICH EVERY SUBMODULE HAS A UNIQUE COCLOSURE
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• Unnamed Item
• Unnamed Item

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