Radical functors in the category of modules over different rings

• Datum: 2018
• Hauptverfasser: Burban, Natalia, Horbachuk, Omelyan
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: category; functor; radical functor; category of modules; essential subcategory; 16S90; 16D90
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/816
• Назва журналу: Algebra and Discrete Mathematics

The category \(\mathcal{G}\) of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on \(\mathcal{G}\) to be radical are given. Radical functors on essential subcategories of \(\mathcal{G}\) are investigated.