Modules whose closed submodules with essential socle are direct summands

DOI10.11650/tjm.18.2014.3388zbMath1357.16011OpenAlexW1976604718MaRDI QIDQ514727

Septimiu Crivei, Serap Sahinkaya

Publication date: 9 March 2017

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

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3388

zbMATH Keywords

soclecomplementclosed submodule(non-)singular moduleCESS-moduleCLESS-moduleCLS-moduleextending module (CS-module)

Mathematics Subject Classification ID

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 (6)

Unnamed Item ⋮ Unnamed Item ⋮ When some complement of a z-closed submodule is a summand ⋮ D-Extending Modules ⋮ Unnamed Item ⋮ On \(\mathcal{D} \)-closed submodules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending modules over commutative domains
• On commutative rings over which the singular submodule is a direct summand for ervery module
• Direct Products of Modules
• Goldie Extending Modules
• A generalization of CS-modules
• Modules Over Dedekind Rings and Valuation Rings

This page was built for publication: Modules whose closed submodules with essential socle are direct summands