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http://dx.doi.org/10.5831/HMJ.2020.42.2.293

Fδ-SUPPLEMENTED MODULES  

Turkmen, Burcu Nisanci (Faculty of Sciences and Arts, Amasya University)
Eryilmaz, Figen (Department of Mathematics Education, Ondokuz Mayis University)
Publication Information
Honam Mathematical Journal / v.42, no.2, 2020 , pp. 293-300 More about this Journal
Abstract
In this article, we define a (an amply) Fδ-supplemented module in category of R-Mod. The general properties of Fδ-supplemented modules are briefly discussed. Then, concentrating on the Fδ-small submodule, we find the necessary and sufficient condition for Fδ- supplemented modules. Also, we introduce ascending chain condition for Fδ-small submodules of any module and establish a basic theorem for amply Fδ-supplemented modules by using π-projectivity.
Keywords
$F_{\delta}$-small submodule; (amply) $F_{\delta}$-supplemented module;
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