On direct sums of extending modules and internal exchange property

DOI10.1006/jabr.2001.9089zbMath1007.16005OpenAlexW2058382496MaRDI QIDQ1602015

Yosuke Kuratomi, Katutosi Hanada, Kiyoichi Oshiro

Publication date: 7 January 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9089

zbMATH Keywords

direct sumsdirect summandsessential submodulesextending modulesquasi-continuous modulesCS-modulesgeneralized relative injectivity

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70)

Related Items (14)

Two Open Questions On Goldie Extending Modules ⋮ On Goldie-extending modules with finite internal exchange property ⋮ Almost projective modules and generalized projective modules ⋮ On generalized injective modules and almost injective modules ⋮ Lifting modules with finite internal exchange property and direct sums of hollow modules ⋮ MIXED INJECTIVE MODULES ⋮ H-supplemented Modules and Generalizations of Quasi-discrete Modules ⋮ ON A CLASS OF SEMIPERFECT RINGS ⋮ DIRECT SUMS OF H-SUPPLEMENTED MODULES ⋮ Unnamed Item ⋮ A STUDY OF UNIFORM ONE-SIDED IDEALS IN SIMPLE RINGS ⋮ On Direct Sums of Lifting Modules and Internal Exchange Property ⋮ Ojective ideals in modular lattices ⋮ On direct sums of extending modules and internal exchange property

Cites Work

• Classes of modules with the exchange property
• Projective modules over von Neumann regular rings have the finite exchange property
• On rings whose projective modules have the exchange property
• An example of a ring whose projective modules have the exchange property
• On modules with lifting properties
• On modules with extending properties
• On direct sums of extending modules and internal exchange property
• Lifting modules, extending modules and their applications to QF-rings
• Modules Et Anneaux Quasi-Continus
• On Continuous Regular Rings
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