\(H\)-supplemented modules with respect to a preradical

• Main Authors: Talebi, Yahya, Hamzekolaei, A. R. Moniri, Tutuncu, Derya Keskin
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: \(H\)-supplemented module; \(\tau\)-\(H\)-supplemented module; \(\tau\)-lifting module; 16S90; 16D10; 16D70; 16D99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/675

Let \(M\) be a right \(R\)-module and \(\tau\) a preradical. We call \(M\) \(\tau\)-\(H\)-supplemented if for every submodule \(A\) of \(M\) there exists a direct summand \(D\) of \(M\) such that \((A + D)/D \subseteq \tau(M/D)\) and \((A + D)/A \subseteq \tau(M/A)\). Let \(\tau\) be a cohereditary...