Geodesic
Transfer properties in radical theory
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2004), pp. 46-56

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A functor is said to reflect radical classes if under this functor the inverse image of a radical class is always a radical class.Prototypical examples of such functors include polynomial and matrix functors and various forgetful functors.This paper is for the most part a survey of known results concerning radical reflections,but there are a few new results,including a generalization to right alternative rings of a well known result of Andrunakievici on upper radicals of simple associative rings. 
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     author = {R. J. Gardner},
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R. J. Gardner. Transfer properties in radical theory. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2004), pp. 46-56. http://geodesic.mathdoc.fr/item/BASM_2004_1_a5/