When some complement of an exact submodule is a direct summand

DOI10.1080/00927872.2021.1918137zbMath1494.16003OpenAlexW3161453915WikidataQ116644983 ScholiaQ116644983MaRDI QIDQ5860657

R. Yaşar, Adnan Tercan

Publication date: 22 November 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1918137

zbMATH Keywords

complementleft exact preradical\(CS\)-module\(C_{11}\)-moduleexact submodule\(ES\)-module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) General module theory in associative algebras (16D10)

Related Items

Goldie extending property on the class of exact submodules

Cites Work

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• Lattice preradicals with applications to Grothendieck categories and torsion theories.
• Weak \((C_{11})\) modules and algebraic topology type examples.
• On CLS-modules
• Type submodules and direct sum decompositions of modules.
• The conditions (C_i) in modular lattices, and applications
• Module Theory, Extending Modules and Generalizations
• When some complement of a z-closed submodule is a summand
• Generalizations of CS-modules
• The Extending Condition Relative to Sets of Submodules
• Modular C11 lattices and lattice preradicals