Module decompositions via Rickart modules

• Datum: 2018
• Hauptverfasser: Harmanci, Abdullah, Ungor, Burcu
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: \(\mathrm{Soc}(\cdot)\)-inverse split module; \(\mathrm{Rad}(\cdot)\)-inverse split module; Rickart module; 16D10; 16D40; 16D80
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/327
• Назва журналу: Algebra and Discrete Mathematics

This work is devoted to the investigation of module decompositions which arise from Rickart modules, socle and radical of modules. In this regard, the structure and several illustrative examples of inverse split modules relative to the socle and radical are given. It is shown that a module \(M\) has...