A dual approach to the theory of inverse split modules

DOI10.1142/S0219498818501487zbMath1414.16003OpenAlexW2739471712MaRDI QIDQ3177312

Burcu Ungor, Sait Halıcıoglu, Abdullah Harmanci

Publication date: 31 July 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501487

zbMATH Keywords

dual Rickart modulefully invariant submodulecosingular submoduledual inverse split moduleinverse split module

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) Other classes of modules and ideals in associative algebras (16D80) General module theory in associative algebras (16D10)

Related Items (3)

Split objects with respect to a fully invariant short exact sequence in abelian categories ⋮ Generating dual Baer modules via fully invariant submodules ⋮ F-Baer objects with respect to a fully invariant short exact sequence in abelian categories

Cites Work

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• Dual Rickart Modules
• MODULES WITH SMALL CYCLIC SUBMODULES IN THEIR INJECTIVE HULLS
• Rickart Modules
• On 𝒦-Nonsingular Modules and Applications
• Small Modules

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