When is the SIP (SSP) property inherited by free modules.

DOI10.1007/S10474-006-0067-ZzbMath1105.16004OpenAlexW2007058931MaRDI QIDQ855109

Gary F. Birkenmeier, F. Karabacak, Adnan Tercan

Publication date: 2 January 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0067-z

zbMATH Keywords

direct sumsdirect summandssummand sum property\(C_{11}\)-modulesright Ore domainssummand intersection 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) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (5)

On a generalization of lifting modules via SSP-modules ⋮ Summand intersection property on the class of exact submodules ⋮ On matrix rings with the SIP and the Ads ⋮ Modules Whoset-Closed Submodules Have a Summand as a Complement ⋮ Summand intersection property of modules via z-closed submodules

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