Generalizations of $\oplus$-supplemented modules

• Datum: 2013
• Hauptverfasser: Pancar, A., Türkmen, B. N., Пансар, А., Тюркмен, Б. Н.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2439
• Назва журналу: 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...