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Algebra and Discrete Mathematics, 2008, Issue 3, Pages 30–39 (Mi adm167)  
RESEARCH ARTICLE

Radical functors in the category of modules over different rings

Natalia Burbana, Omelyan Horbachukb

a Department of Mechanics and Mathematics, Lviv National University, Universytetska str. 1, Lviv 79000, Ukraine
b Pidstryhach Institute for Applied Problems of Mechanics and Mathematics,Naukova str. 3B, Lviv 79060, Ukraine
Full-text PDF (213 kB)
Abstract: 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.
Keywords: category, functor, radical functor, category of modules, essential subcategory.
Received: 17.07.2008
Revised: 14.10.2008
Bibliographic databases:
Document Type: Article
MSC: 16S90, 16D90
Language: English
Citation: Natalia Burban, Omelyan Horbachuk, “Radical functors in the category of modules over different rings”, Algebra Discrete Math., 2008, no. 3, 30–39
Citation in format AMSBIB
\Bibitem{BurHor08}
\by Natalia~Burban, Omelyan~Horbachuk
\paper Radical functors in the category of modules over different rings
\jour Algebra Discrete Math.
\yr 2008
\issue 3
\pages 30--39
\mathnet{http://mi.mathnet.ru/adm167}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2477806}
\zmath{https://zbmath.org/?q=an:1164.16004}
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