On a generalization of \(\oplus\)-co-coatomically supplemented modules

DOI10.5831/HMJ.2023.45.1.146MaRDI QIDQ6551304

Esra Öztürk Sözen, Figen Eryılmaz

Publication date: 6 June 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

co-coatomic submodule\(\oplus_{\delta}\)-co-coatomically supplemented moduleco-coatomically \(\delta\)-perfect 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) Noncommutative local and semilocal rings, perfect rings (16L30) General module theory in associative algebras (16D10)

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• Generalizations of perfect, semiperfect, and semiregular rings
• MODULES WHOSE MAXIMAL SUBMODULES HAVE SUPPLEMENTS
• FINITELY GENERATED δ-SUPPLEMENTED MODULES ARE AMPLY δ-SUPPLEMENTED
• ⊕-Cofinitely Supplemented Modules
• Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
• DUO MODULES
• δ-Lifting and δ-Supplemented Modules
• Cofinitely \delta-supplemented and cofinitely \delta-semiperfect modules
• When $\delta$-semiperfect rings are semiperfect
• GENERALIZATIONS OF D₁₁ AND $D_{11}^ +$ MODULES
• When Finitely Generated δ-Supplemented Modules Are Supplemented

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