On generalization of $⊕$-cofinitely supplemented modules

• Date: 2010
• Main Authors: Nisanci, B., Pancar, A., Нісанці, Б., Пансар, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2854
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the properties of ⊕-cofinitely radical supplemented modules, or, briefly, $cgs^{⊕}$-modules. It is shown that a module with summand sum property (SSP) is $cgs^{⊕}$ if and only if $M/w \text{Loc}^{⊕} M$ ($w \text{Loc}^{⊕} M$ is the sum of all $w$-local direct summands of a module $M$) does n...