Generalizations of $\oplus$-supplemented modules

• Date: 2013
• Main Authors: Pancar, A., Türkmen, B. N., Пансар, А., Тюркмен, Б. Н.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2439
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce $\oplus$-radical supplemented modules and strongly $\oplus$-radical supplemented modules (briefly, $srs^{\oplus}$-modules) as proper generalizations of $\oplus$-supplemented modules. We prove that (1) a semilocal ring $R$ is left perfect if and only if every left $R$-module is an $\opl...