On \(\tau\)-extending modules.

DOI10.1007/s00009-010-0096-2zbMath1258.16033OpenAlexW2026680825MaRDI QIDQ414393

Seçil Çeken, Mustafa Alkan

Publication date: 11 May 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0096-2

zbMATH Keywords

direct sumshereditary torsion theoriescategories of modulesdirect summandsextending modulesclosed submodulescomplemented modulesCS-moduleslarge submodules

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) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (5)

A generalization of purely extending modules relative to a torsion theory ⋮ The Osofsky-Smith Theorem for Modular Lattices, and Applications (II) ⋮ Singular and nonsingular modules relative to a torsion theory ⋮ Comultiplication modules relative to a hereditary torsion theory ⋮ The radical formula for noncommutative rings

Cites Work

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• Extending modules with injective or semisimple summands
• Direct products of simple modules over Dedekind domains.
• CS modules relative to a torsion theory.
• Spectral gabriel topologies and relative singular functors
• Extending modules relative to a torsion theory
• Modules complemented with respect to a torsion theory
• A generalization of CS-modules
• Generalizations of CS-modules

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