When some complement of a z-closed submodule is a summand

DOI10.1080/00927872.2017.1404080zbMath1430.16009OpenAlexW2775270025MaRDI QIDQ4576678

Adnan Tercan, Yeliz Kara

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1404080

zbMATH Keywords

extending modulecomplement submodule\(C_{11}\)-modulez-closed submodule

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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)

Related Items

Goldie extending property on the class of exact submodules, Unnamed Item, C11 -modules via left exact preradicals, D-Extending Modules, Unnamed Item, On \(\mathcal{D} \)-closed submodules, When some complement of an exact submodule is a direct summand

Cites Work

• Modules whose closed submodules with essential socle are direct summands
• On CLS-modules
• Type submodules and direct sum decompositions of modules.
• Module Theory, Extending Modules and Generalizations
• Generalizations of CS-modules
• The Extending Condition Relative to Sets of Submodules
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