t-Extending Modules andt-Baer Modules

DOI10.1080/00927871003677519zbMath1230.16006OpenAlexW1977597453MaRDI QIDQ3090090

Sh. Asgari, Ahmad Haghany

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003677519

zbMATH Keywords

projective modulesdirect productsdirect summandsessential submodulestorsion submodulesextending modulesclosed submodulesBaer modulesnonsingular submodules

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) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (20)

Modules whose t-closed submodules are their homomorphic images ⋮ On rings admitting nonzero homomorphisms between non-projective modules ⋮ The T-extending condition relative to projection invariant submodules ⋮ t-Rickart and Dual t-Rickart Modules ⋮ S-T-CORETRACTABLE MODULES ⋮ On a generalization of $C_2$-modules ⋮ A generalization of purely extending modules relative to a torsion theory ⋮ T-Semisimple Modules and T-Semisimple Rings ⋮ Unnamed Item ⋮ t-extending Krasner hypermodules ⋮ T-idempotent invariant modules ⋮ Modules which are invariant under t-automorphisms of their injective hulls ⋮ t-Nilpotent invariant modules ⋮ Rings whose nonsingular modules have projective covers ⋮ t-dual Baer modules and t-lifting modules. ⋮ Modules in Which Inverse Images of Some Submodules are Direct Summands ⋮ T-quasi-continuous modules ⋮ T-quasi continuous modules ⋮ Modules Whoset-Closed Submodules Have a Summand as a Complement ⋮ T-continuous modules

Cites Work

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• On direct sums of Baer modules.
• On generalized extending modules.
• DENSELY CO-HOPFIAN MODULES
• Modules Whose Submodules are Essentially Embedded in Direct Summands
• Endomorphism Rings of Modules over non-singular CS Rings
• Modules which are extending relative to module classes
• Baer and Quasi-Baer Modules
• MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS
• A generalization of CS-modules
• Generalizations of CS-modules
• On 𝒦-Nonsingular Modules and Applications
• Modules which are weak extending relative to module classes.

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