Geodesic
Radical functors in the category of modules over different rings
Algebra and discrete mathematics, no. 3 (2008), pp. 30-39.

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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. 
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     author = {Natalia Burban and Omelyan Horbachuk},
     title = {Radical functors in the category of modules over different rings},
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     number = {3},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2008_3_a1/}
}
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Natalia Burban; Omelyan Horbachuk. Radical functors in the category of modules over different rings. Algebra and discrete mathematics, no. 3 (2008), pp. 30-39. http://geodesic.mathdoc.fr/item/ADM_2008_3_a1/