Modules in Which Inverse Images of Some Submodules are Direct Summands

DOI10.1080/00927872.2015.1027355zbMath1345.16008OpenAlexW2328326981MaRDI QIDQ2810619

Burcu Ungor, Sait Halıcıoglu, Abdullah Harmanci

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027355

zbMATH Keywords

projective modulesfree modulesdirect summandsfully invariant submodulesRickart modules\(F\)-inverse split modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) 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)

Related Items (9)

A KIND OF F-INVERSE SPLIT MODULES ⋮ F-CS-RICKART MODULES ⋮ A dual approach to the theory of inverse split modules ⋮ Split objects with respect to a fully invariant short exact sequence in abelian categories ⋮ Unnamed Item ⋮ Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories ⋮ Rickart modules relative to singular submodule and dual Goldie torsion theory ⋮ 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

• Unnamed Item
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• Direct sums of Rickart modules.
• Coprime preradicals and modules.
• Semiregular, semiperfect and perfect rings relative to an ideal.
• Strong lifting.
• Banach algebras with an adjoint operation
• Extensions of Rings and Modules
• t-Extending Modules andt-Baer Modules
• T-Rickart modules
• Rickart Modules

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