Radical functors in the category of modules over different rings

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Authors: Burban, N., Horbachuk, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153358
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Radical functors in the category of modules over different rings / N. Burban, O. Horbachuk // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 30–39. — Бібліогр.: 8 назв. — англ.

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