On modules for which the finite exchange property implies the countable exchange property

DOI10.1080/00927879408825055zbMath0840.16009OpenAlexW1985612074MaRDI QIDQ4304168

Hua-Ping Yu

Publication date: 24 June 1996

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

Full work available at URL: https://doi.org/10.1080/00927879408825055

zbMATH Keywords

idempotentsGoldie dimensionquasi-continuous modulesfinite exchange propertydistributive modulesacc on essential right idealscountable exchange property

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (7)

The Exchange Property of Modules with the Finite Exchange Property ⋮ Modules whose certain submodules are essentially embedded in direct summands ⋮ Unnamed Item ⋮ Square-free modules with the exchange property. ⋮ ABELIAN EXCHANGE MODULES ⋮ Generalized extending modules via exchange and clean properties ⋮ Separativity of modules with finite exchange property

Cites Work

• Unnamed Item
• Unnamed Item
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• Classes of modules with the exchange property
• Exchanging torsion modules over Dedekind domains
• Modules with local Pierce stalks
• An isomorphic refinement theorem for certain Abelian p-groups
• Exchange rings and decompositions of modules
• Modules Whose Lattice of Submodules is Distributive
• Rings all of Whose Pierce Stalks are Local

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